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Finding the Third Proportional to 2,332,509.75 and 3,480,769.13

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Solution

The third proportional to 2,332,509.75 and 3,480,769.13 is: 5,194,299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332,509.75 : 3,480,769.13 = 3,480,769.13 : x
  2. Step 2: Convert to fraction form
    2,332,509.75/3,480,769.13 = 3,480,769.13/x
  3. Step 3: Cross multiply
    2,332,509.75x = 3,480,769.13 × 3,480,769.13
  4. Step 4: Simplify right side
    2,332,509.75x = 12,115,753,701,553.27
  5. Step 5: Solve for x
    x = 12,115,753,701,553.27/2,332,509.75
  6. Step 6: Final answer
    x = 5,194,299.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.