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Finding the Third Proportional to 725,721.19 and 1,152,935.44

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Solution

The third proportional to 725,721.19 and 1,152,935.44 is: 1,831,640.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,721.19 : 1,152,935.44 = 1,152,935.44 : x
  2. Step 2: Convert to fraction form
    725,721.19/1,152,935.44 = 1,152,935.44/x
  3. Step 3: Cross multiply
    725,721.19x = 1,152,935.44 × 1,152,935.44
  4. Step 4: Simplify right side
    725,721.19x = 1,329,260,123,043.32
  5. Step 5: Solve for x
    x = 1,329,260,123,043.32/725,721.19
  6. Step 6: Final answer
    x = 1,831,640.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.