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Finding the Third Proportional to 762,482 and 1,016,527

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Solution

The third proportional to 762,482 and 1,016,527 is: 1,355,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,482 : 1,016,527 = 1,016,527 : x
  2. Step 2: Convert to fraction form
    762,482/1,016,527 = 1,016,527/x
  3. Step 3: Cross multiply
    762,482x = 1,016,527 × 1,016,527
  4. Step 4: Simplify right side
    762,482x = 1,033,327,141,729
  5. Step 5: Solve for x
    x = 1,033,327,141,729/762,482
  6. Step 6: Final answer
    x = 1,355,215.13

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.