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Finding the Third Proportional to 498,445,252 and 1,090,854,536

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Solution

The third proportional to 498,445,252 and 1,090,854,536 is: 2,387,350,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,445,252 : 1,090,854,536 = 1,090,854,536 : x
  2. Step 2: Convert to fraction form
    498,445,252/1,090,854,536 = 1,090,854,536/x
  3. Step 3: Cross multiply
    498,445,252x = 1,090,854,536 × 1,090,854,536
  4. Step 4: Simplify right side
    498,445,252x = 1,189,963,618,711,775,232
  5. Step 5: Solve for x
    x = 1,189,963,618,711,775,232/498,445,252
  6. Step 6: Final answer
    x = 2,387,350,694.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.