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Finding the Third Proportional to 517,437 and 1,131,057

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Solution

The third proportional to 517,437 and 1,131,057 is: 2,472,358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,437 : 1,131,057 = 1,131,057 : x
  2. Step 2: Convert to fraction form
    517,437/1,131,057 = 1,131,057/x
  3. Step 3: Cross multiply
    517,437x = 1,131,057 × 1,131,057
  4. Step 4: Simplify right side
    517,437x = 1,279,289,937,249
  5. Step 5: Solve for x
    x = 1,279,289,937,249/517,437
  6. Step 6: Final answer
    x = 2,472,358.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.