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Finding the Third Proportional to 978,499 and 1,377,942

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Solution

The third proportional to 978,499 and 1,377,942 is: 1,940,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,499 : 1,377,942 = 1,377,942 : x
  2. Step 2: Convert to fraction form
    978,499/1,377,942 = 1,377,942/x
  3. Step 3: Cross multiply
    978,499x = 1,377,942 × 1,377,942
  4. Step 4: Simplify right side
    978,499x = 1,898,724,155,364
  5. Step 5: Solve for x
    x = 1,898,724,155,364/978,499
  6. Step 6: Final answer
    x = 1,940,445.68

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.