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Finding the Third Proportional to 746,727 and 1,148,418

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Solution

The third proportional to 746,727 and 1,148,418 is: 1,766,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,727 : 1,148,418 = 1,148,418 : x
  2. Step 2: Convert to fraction form
    746,727/1,148,418 = 1,148,418/x
  3. Step 3: Cross multiply
    746,727x = 1,148,418 × 1,148,418
  4. Step 4: Simplify right side
    746,727x = 1,318,863,902,724
  5. Step 5: Solve for x
    x = 1,318,863,902,724/746,727
  6. Step 6: Final answer
    x = 1,766,192.87

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.