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Finding the Third Proportional to 725,204.81 and 1,510,007.81

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Solution

The third proportional to 725,204.81 and 1,510,007.81 is: 3,144,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,204.81 : 1,510,007.81 = 1,510,007.81 : x
  2. Step 2: Convert to fraction form
    725,204.81/1,510,007.81 = 1,510,007.81/x
  3. Step 3: Cross multiply
    725,204.81x = 1,510,007.81 × 1,510,007.81
  4. Step 4: Simplify right side
    725,204.81x = 2,280,123,593,811.04
  5. Step 5: Solve for x
    x = 2,280,123,593,811.04/725,204.81
  6. Step 6: Final answer
    x = 3,144,109.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.