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Finding the Third Proportional to 1,442,703.38 and 2,251,398.38

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Solution

The third proportional to 1,442,703.38 and 2,251,398.38 is: 3,513,400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,703.38 : 2,251,398.38 = 2,251,398.38 : x
  2. Step 2: Convert to fraction form
    1,442,703.38/2,251,398.38 = 2,251,398.38/x
  3. Step 3: Cross multiply
    1,442,703.38x = 2,251,398.38 × 2,251,398.38
  4. Step 4: Simplify right side
    1,442,703.38x = 5,068,794,642,952.64
  5. Step 5: Solve for x
    x = 5,068,794,642,952.64/1,442,703.38
  6. Step 6: Final answer
    x = 3,513,400.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.