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Finding the Third Proportional to 614,077.14 and 1,332,523.72

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Solution

The third proportional to 614,077.14 and 1,332,523.72 is: 2,891,525.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,077.14 : 1,332,523.72 = 1,332,523.72 : x
  2. Step 2: Convert to fraction form
    614,077.14/1,332,523.72 = 1,332,523.72/x
  3. Step 3: Cross multiply
    614,077.14x = 1,332,523.72 × 1,332,523.72
  4. Step 4: Simplify right side
    614,077.14x = 1,775,619,471,441.54
  5. Step 5: Solve for x
    x = 1,775,619,471,441.54/614,077.14
  6. Step 6: Final answer
    x = 2,891,525.13

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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.