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Finding the Third Proportional to 726,471 and 1,583,731

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Solution

The third proportional to 726,471 and 1,583,731 is: 3,452,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,471 : 1,583,731 = 1,583,731 : x
  2. Step 2: Convert to fraction form
    726,471/1,583,731 = 1,583,731/x
  3. Step 3: Cross multiply
    726,471x = 1,583,731 × 1,583,731
  4. Step 4: Simplify right side
    726,471x = 2,508,203,880,361
  5. Step 5: Solve for x
    x = 2,508,203,880,361/726,471
  6. Step 6: Final answer
    x = 3,452,586.38

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Why These Related Problems?

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