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Finding the Third Proportional to 498,445,254 and 1,090,854,540

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Solution

The third proportional to 498,445,254 and 1,090,854,540 is: 2,387,350,702.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,445,254 : 1,090,854,540 = 1,090,854,540 : x
  2. Step 2: Convert to fraction form
    498,445,254/1,090,854,540 = 1,090,854,540/x
  3. Step 3: Cross multiply
    498,445,254x = 1,090,854,540 × 1,090,854,540
  4. Step 4: Simplify right side
    498,445,254x = 1,189,963,627,438,611,712
  5. Step 5: Solve for x
    x = 1,189,963,627,438,611,712/498,445,254
  6. Step 6: Final answer
    x = 2,387,350,702.79

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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.