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Finding the Third Proportional to 517,449 and 1,113,588

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Solution

The third proportional to 517,449 and 1,113,588 is: 2,396,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,449 : 1,113,588 = 1,113,588 : x
  2. Step 2: Convert to fraction form
    517,449/1,113,588 = 1,113,588/x
  3. Step 3: Cross multiply
    517,449x = 1,113,588 × 1,113,588
  4. Step 4: Simplify right side
    517,449x = 1,240,078,233,744
  5. Step 5: Solve for x
    x = 1,240,078,233,744/517,449
  6. Step 6: Final answer
    x = 2,396,522.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.