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Finding the Third Proportional to 656,625 and 1,437,811

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Solution

The third proportional to 656,625 and 1,437,811 is: 3,148,373.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,625 : 1,437,811 = 1,437,811 : x
  2. Step 2: Convert to fraction form
    656,625/1,437,811 = 1,437,811/x
  3. Step 3: Cross multiply
    656,625x = 1,437,811 × 1,437,811
  4. Step 4: Simplify right side
    656,625x = 2,067,300,471,721
  5. Step 5: Solve for x
    x = 2,067,300,471,721/656,625
  6. Step 6: Final answer
    x = 3,148,373.08

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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.