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Finding the Third Proportional to 486,762,961,804 and 1,040,514,421,784

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Solution

The third proportional to 486,762,961,804 and 1,040,514,421,784 is: 2,224,224,821,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,762,961,804 : 1,040,514,421,784 = 1,040,514,421,784 : x
  2. Step 2: Convert to fraction form
    486,762,961,804/1,040,514,421,784 = 1,040,514,421,784/x
  3. Step 3: Cross multiply
    486,762,961,804x = 1,040,514,421,784 × 1,040,514,421,784
  4. Step 4: Simplify right side
    486,762,961,804x = 1,082,670,261,940,491,833,573,376
  5. Step 5: Solve for x
    x = 1,082,670,261,940,491,833,573,376/486,762,961,804
  6. Step 6: Final answer
    x = 2,224,224,821,724.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.