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Finding the Third Proportional to 726,549 and 1,583,882

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Solution

The third proportional to 726,549 and 1,583,882 is: 3,452,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,549 : 1,583,882 = 1,583,882 : x
  2. Step 2: Convert to fraction form
    726,549/1,583,882 = 1,583,882/x
  3. Step 3: Cross multiply
    726,549x = 1,583,882 × 1,583,882
  4. Step 4: Simplify right side
    726,549x = 2,508,682,189,924
  5. Step 5: Solve for x
    x = 2,508,682,189,924/726,549
  6. Step 6: Final answer
    x = 3,452,874.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.