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Finding the Third Proportional to 3,393,722.81 and 4,747,149.28

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Solution

The third proportional to 3,393,722.81 and 4,747,149.28 is: 6,640,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393,722.81 : 4,747,149.28 = 4,747,149.28 : x
  2. Step 2: Convert to fraction form
    3,393,722.81/4,747,149.28 = 4,747,149.28/x
  3. Step 3: Cross multiply
    3,393,722.81x = 4,747,149.28 × 4,747,149.28
  4. Step 4: Simplify right side
    3,393,722.81x = 22,535,426,298,472.39
  5. Step 5: Solve for x
    x = 22,535,426,298,472.39/3,393,722.81
  6. Step 6: Final answer
    x = 6,640,326.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.