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Finding the Third Proportional to 974,493 and 1,417,452

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Solution

The third proportional to 974,493 and 1,417,452 is: 2,061,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,493 : 1,417,452 = 1,417,452 : x
  2. Step 2: Convert to fraction form
    974,493/1,417,452 = 1,417,452/x
  3. Step 3: Cross multiply
    974,493x = 1,417,452 × 1,417,452
  4. Step 4: Simplify right side
    974,493x = 2,009,170,172,304
  5. Step 5: Solve for x
    x = 2,009,170,172,304/974,493
  6. Step 6: Final answer
    x = 2,061,759.47

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.