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Finding the Third Proportional to 978,494 and 1,377,932

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Solution

The third proportional to 978,494 and 1,377,932 is: 1,940,427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,494 : 1,377,932 = 1,377,932 : x
  2. Step 2: Convert to fraction form
    978,494/1,377,932 = 1,377,932/x
  3. Step 3: Cross multiply
    978,494x = 1,377,932 × 1,377,932
  4. Step 4: Simplify right side
    978,494x = 1,898,696,596,624
  5. Step 5: Solve for x
    x = 1,898,696,596,624/978,494
  6. Step 6: Final answer
    x = 1,940,427.43

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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.