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Finding the Third Proportional to 652,116 and 1,002,474

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Solution

The third proportional to 652,116 and 1,002,474 is: 1,541,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,116 : 1,002,474 = 1,002,474 : x
  2. Step 2: Convert to fraction form
    652,116/1,002,474 = 1,002,474/x
  3. Step 3: Cross multiply
    652,116x = 1,002,474 × 1,002,474
  4. Step 4: Simplify right side
    652,116x = 1,004,954,120,676
  5. Step 5: Solve for x
    x = 1,004,954,120,676/652,116
  6. Step 6: Final answer
    x = 1,541,066.50

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.