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Finding the Third Proportional to 517,870 and 1,107,699

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Solution

The third proportional to 517,870 and 1,107,699 is: 2,369,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,870 : 1,107,699 = 1,107,699 : x
  2. Step 2: Convert to fraction form
    517,870/1,107,699 = 1,107,699/x
  3. Step 3: Cross multiply
    517,870x = 1,107,699 × 1,107,699
  4. Step 4: Simplify right side
    517,870x = 1,226,997,074,601
  5. Step 5: Solve for x
    x = 1,226,997,074,601/517,870
  6. Step 6: Final answer
    x = 2,369,314.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.