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Finding the Third Proportional to 726,672.94 and 1,564,395.19

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Solution

The third proportional to 726,672.94 and 1,564,395.19 is: 3,367,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,672.94 : 1,564,395.19 = 1,564,395.19 : x
  2. Step 2: Convert to fraction form
    726,672.94/1,564,395.19 = 1,564,395.19/x
  3. Step 3: Cross multiply
    726,672.94x = 1,564,395.19 × 1,564,395.19
  4. Step 4: Simplify right side
    726,672.94x = 2,447,332,302,673.16
  5. Step 5: Solve for x
    x = 2,447,332,302,673.16/726,672.94
  6. Step 6: Final answer
    x = 3,367,859.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.