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Finding the Third Proportional to 642,612 and 1,395,846

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Solution

The third proportional to 642,612 and 1,395,846 is: 3,031,978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,612 : 1,395,846 = 1,395,846 : x
  2. Step 2: Convert to fraction form
    642,612/1,395,846 = 1,395,846/x
  3. Step 3: Cross multiply
    642,612x = 1,395,846 × 1,395,846
  4. Step 4: Simplify right side
    642,612x = 1,948,386,055,716
  5. Step 5: Solve for x
    x = 1,948,386,055,716/642,612
  6. Step 6: Final answer
    x = 3,031,978.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.