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Finding the Third Proportional to 726,164 and 1,084,872

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Solution

The third proportional to 726,164 and 1,084,872 is: 1,620,773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,164 : 1,084,872 = 1,084,872 : x
  2. Step 2: Convert to fraction form
    726,164/1,084,872 = 1,084,872/x
  3. Step 3: Cross multiply
    726,164x = 1,084,872 × 1,084,872
  4. Step 4: Simplify right side
    726,164x = 1,176,947,256,384
  5. Step 5: Solve for x
    x = 1,176,947,256,384/726,164
  6. Step 6: Final answer
    x = 1,620,773.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.