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Finding the Third Proportional to 563,031 and 1,172,657.25

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Solution

The third proportional to 563,031 and 1,172,657.25 is: 2,442,361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,031 : 1,172,657.25 = 1,172,657.25 : x
  2. Step 2: Convert to fraction form
    563,031/1,172,657.25 = 1,172,657.25/x
  3. Step 3: Cross multiply
    563,031x = 1,172,657.25 × 1,172,657.25
  4. Step 4: Simplify right side
    563,031x = 1,375,125,025,977.56
  5. Step 5: Solve for x
    x = 1,375,125,025,977.56/563,031
  6. Step 6: Final answer
    x = 2,442,361.12

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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.