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Finding the Third Proportional to 726,478 and 1,133,868

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Solution

The third proportional to 726,478 and 1,133,868 is: 1,769,711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,478 : 1,133,868 = 1,133,868 : x
  2. Step 2: Convert to fraction form
    726,478/1,133,868 = 1,133,868/x
  3. Step 3: Cross multiply
    726,478x = 1,133,868 × 1,133,868
  4. Step 4: Simplify right side
    726,478x = 1,285,656,641,424
  5. Step 5: Solve for x
    x = 1,285,656,641,424/726,478
  6. Step 6: Final answer
    x = 1,769,711.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.