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Finding the Third Proportional to 754,333,641 and 1,126,854,909

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Solution

The third proportional to 754,333,641 and 1,126,854,909 is: 1,683,342,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,333,641 : 1,126,854,909 = 1,126,854,909 : x
  2. Step 2: Convert to fraction form
    754,333,641/1,126,854,909 = 1,126,854,909/x
  3. Step 3: Cross multiply
    754,333,641x = 1,126,854,909 × 1,126,854,909
  4. Step 4: Simplify right side
    754,333,641x = 1,269,801,985,937,398,272
  5. Step 5: Solve for x
    x = 1,269,801,985,937,398,272/754,333,641
  6. Step 6: Final answer
    x = 1,683,342,644.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.