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Finding the Third Proportional to 497,864 and 1,092,472

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Solution

The third proportional to 497,864 and 1,092,472 is: 2,397,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,864 : 1,092,472 = 1,092,472 : x
  2. Step 2: Convert to fraction form
    497,864/1,092,472 = 1,092,472/x
  3. Step 3: Cross multiply
    497,864x = 1,092,472 × 1,092,472
  4. Step 4: Simplify right side
    497,864x = 1,193,495,070,784
  5. Step 5: Solve for x
    x = 1,193,495,070,784/497,864
  6. Step 6: Final answer
    x = 2,397,231.11

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