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Finding the Third Proportional to 1,310,438 and 1,974,901

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Solution

The third proportional to 1,310,438 and 1,974,901 is: 2,976,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,438 : 1,974,901 = 1,974,901 : x
  2. Step 2: Convert to fraction form
    1,310,438/1,974,901 = 1,974,901/x
  3. Step 3: Cross multiply
    1,310,438x = 1,974,901 × 1,974,901
  4. Step 4: Simplify right side
    1,310,438x = 3,900,233,959,801
  5. Step 5: Solve for x
    x = 3,900,233,959,801/1,310,438
  6. Step 6: Final answer
    x = 2,976,282.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.