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Finding the Third Proportional to 656,697.38 and 1,437,952.50

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Solution

The third proportional to 656,697.38 and 1,437,952.50 is: 3,148,645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,697.38 : 1,437,952.50 = 1,437,952.50 : x
  2. Step 2: Convert to fraction form
    656,697.38/1,437,952.50 = 1,437,952.50/x
  3. Step 3: Cross multiply
    656,697.38x = 1,437,952.50 × 1,437,952.50
  4. Step 4: Simplify right side
    656,697.38x = 2,067,707,392,256.25
  5. Step 5: Solve for x
    x = 2,067,707,392,256.25/656,697.38
  6. Step 6: Final answer
    x = 3,148,645.74

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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.