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Finding the Third Proportional to 1,077,034.50 and 2,332,377

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Solution

The third proportional to 1,077,034.50 and 2,332,377 is: 5,050,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,034.50 : 2,332,377 = 2,332,377 : x
  2. Step 2: Convert to fraction form
    1,077,034.50/2,332,377 = 2,332,377/x
  3. Step 3: Cross multiply
    1,077,034.50x = 2,332,377 × 2,332,377
  4. Step 4: Simplify right side
    1,077,034.50x = 5,439,982,470,129
  5. Step 5: Solve for x
    x = 5,439,982,470,129/1,077,034.50
  6. Step 6: Final answer
    x = 5,050,889.71

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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.