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Finding the Third Proportional to 726,488 and 1,133,884

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Solution

The third proportional to 726,488 and 1,133,884 is: 1,769,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,488 : 1,133,884 = 1,133,884 : x
  2. Step 2: Convert to fraction form
    726,488/1,133,884 = 1,133,884/x
  3. Step 3: Cross multiply
    726,488x = 1,133,884 × 1,133,884
  4. Step 4: Simplify right side
    726,488x = 1,285,692,925,456
  5. Step 5: Solve for x
    x = 1,285,692,925,456/726,488
  6. Step 6: Final answer
    x = 1,769,737.32

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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.