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Finding the Third Proportional to 1,082,542 and 1,513,459

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Solution

The third proportional to 1,082,542 and 1,513,459 is: 2,115,906.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,542 : 1,513,459 = 1,513,459 : x
  2. Step 2: Convert to fraction form
    1,082,542/1,513,459 = 1,513,459/x
  3. Step 3: Cross multiply
    1,082,542x = 1,513,459 × 1,513,459
  4. Step 4: Simplify right side
    1,082,542x = 2,290,558,144,681
  5. Step 5: Solve for x
    x = 2,290,558,144,681/1,082,542
  6. Step 6: Final answer
    x = 2,115,906.95

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.