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Finding the Third Proportional to 650,814.75 and 1,413,572.77

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Solution

The third proportional to 650,814.75 and 1,413,572.77 is: 3,070,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,814.75 : 1,413,572.77 = 1,413,572.77 : x
  2. Step 2: Convert to fraction form
    650,814.75/1,413,572.77 = 1,413,572.77/x
  3. Step 3: Cross multiply
    650,814.75x = 1,413,572.77 × 1,413,572.77
  4. Step 4: Simplify right side
    650,814.75x = 1,998,187,963,716.71
  5. Step 5: Solve for x
    x = 1,998,187,963,716.71/650,814.75
  6. Step 6: Final answer
    x = 3,070,286.84

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Why These Related Problems?

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