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Finding the Third Proportional to 726,234 and 1,552,530

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Solution

The third proportional to 726,234 and 1,552,530 is: 3,318,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,234 : 1,552,530 = 1,552,530 : x
  2. Step 2: Convert to fraction form
    726,234/1,552,530 = 1,552,530/x
  3. Step 3: Cross multiply
    726,234x = 1,552,530 × 1,552,530
  4. Step 4: Simplify right side
    726,234x = 2,410,349,400,900
  5. Step 5: Solve for x
    x = 2,410,349,400,900/726,234
  6. Step 6: Final answer
    x = 3,318,970.75

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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.