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Finding the Third Proportional to 497,452,048 and 1,064,784,280

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Solution

The third proportional to 497,452,048 and 1,064,784,280 is: 2,279,145,432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,452,048 : 1,064,784,280 = 1,064,784,280 : x
  2. Step 2: Convert to fraction form
    497,452,048/1,064,784,280 = 1,064,784,280/x
  3. Step 3: Cross multiply
    497,452,048x = 1,064,784,280 × 1,064,784,280
  4. Step 4: Simplify right side
    497,452,048x = 1,133,765,562,935,118,336
  5. Step 5: Solve for x
    x = 1,133,765,562,935,118,336/497,452,048
  6. Step 6: Final answer
    x = 2,279,145,432.19

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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.