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Finding the Third Proportional to 726,113 and 1,578,163

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Solution

The third proportional to 726,113 and 1,578,163 is: 3,430,042.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,113 : 1,578,163 = 1,578,163 : x
  2. Step 2: Convert to fraction form
    726,113/1,578,163 = 1,578,163/x
  3. Step 3: Cross multiply
    726,113x = 1,578,163 × 1,578,163
  4. Step 4: Simplify right side
    726,113x = 2,490,598,454,569
  5. Step 5: Solve for x
    x = 2,490,598,454,569/726,113
  6. Step 6: Final answer
    x = 3,430,042.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.