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Finding the Third Proportional to 730,414,406 and 1,486,337,898

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Solution

The third proportional to 730,414,406 and 1,486,337,898 is: 3,024,584,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,414,406 : 1,486,337,898 = 1,486,337,898 : x
  2. Step 2: Convert to fraction form
    730,414,406/1,486,337,898 = 1,486,337,898/x
  3. Step 3: Cross multiply
    730,414,406x = 1,486,337,898 × 1,486,337,898
  4. Step 4: Simplify right side
    730,414,406x = 2,209,200,347,031,058,432
  5. Step 5: Solve for x
    x = 2,209,200,347,031,058,432/730,414,406
  6. Step 6: Final answer
    x = 3,024,584,850.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.