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Finding the Third Proportional to 726,240 and 1,552,542

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Solution

The third proportional to 726,240 and 1,552,542 is: 3,318,994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,240 : 1,552,542 = 1,552,542 : x
  2. Step 2: Convert to fraction form
    726,240/1,552,542 = 1,552,542/x
  3. Step 3: Cross multiply
    726,240x = 1,552,542 × 1,552,542
  4. Step 4: Simplify right side
    726,240x = 2,410,386,661,764
  5. Step 5: Solve for x
    x = 2,410,386,661,764/726,240
  6. Step 6: Final answer
    x = 3,318,994.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.