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Finding the Third Proportional to 1,082,523 and 1,513,431

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Solution

The third proportional to 1,082,523 and 1,513,431 is: 2,115,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,523 : 1,513,431 = 1,513,431 : x
  2. Step 2: Convert to fraction form
    1,082,523/1,513,431 = 1,513,431/x
  3. Step 3: Cross multiply
    1,082,523x = 1,513,431 × 1,513,431
  4. Step 4: Simplify right side
    1,082,523x = 2,290,473,391,761
  5. Step 5: Solve for x
    x = 2,290,473,391,761/1,082,523
  6. Step 6: Final answer
    x = 2,115,865.80

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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.