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Finding the Third Proportional to 563,035 and 1,172,665

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Solution

The third proportional to 563,035 and 1,172,665 is: 2,442,376.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,035 : 1,172,665 = 1,172,665 : x
  2. Step 2: Convert to fraction form
    563,035/1,172,665 = 1,172,665/x
  3. Step 3: Cross multiply
    563,035x = 1,172,665 × 1,172,665
  4. Step 4: Simplify right side
    563,035x = 1,375,143,202,225
  5. Step 5: Solve for x
    x = 1,375,143,202,225/563,035
  6. Step 6: Final answer
    x = 2,442,376.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.