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Finding the Third Proportional to 726,198 and 1,119,921

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Solution

The third proportional to 726,198 and 1,119,921 is: 1,727,108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,198 : 1,119,921 = 1,119,921 : x
  2. Step 2: Convert to fraction form
    726,198/1,119,921 = 1,119,921/x
  3. Step 3: Cross multiply
    726,198x = 1,119,921 × 1,119,921
  4. Step 4: Simplify right side
    726,198x = 1,254,223,046,241
  5. Step 5: Solve for x
    x = 1,254,223,046,241/726,198
  6. Step 6: Final answer
    x = 1,727,108.92

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.