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Finding the Third Proportional to 592,895,384 and 1,287,855,568

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Solution

The third proportional to 592,895,384 and 1,287,855,568 is: 2,797,410,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,895,384 : 1,287,855,568 = 1,287,855,568 : x
  2. Step 2: Convert to fraction form
    592,895,384/1,287,855,568 = 1,287,855,568/x
  3. Step 3: Cross multiply
    592,895,384x = 1,287,855,568 × 1,287,855,568
  4. Step 4: Simplify right side
    592,895,384x = 1,658,571,964,028,602,624
  5. Step 5: Solve for x
    x = 1,658,571,964,028,602,624/592,895,384
  6. Step 6: Final answer
    x = 2,797,410,822.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.