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Finding the Third Proportional to 726,230 and 1,484,536

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Solution

The third proportional to 726,230 and 1,484,536 is: 3,034,640.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,230 : 1,484,536 = 1,484,536 : x
  2. Step 2: Convert to fraction form
    726,230/1,484,536 = 1,484,536/x
  3. Step 3: Cross multiply
    726,230x = 1,484,536 × 1,484,536
  4. Step 4: Simplify right side
    726,230x = 2,203,847,135,296
  5. Step 5: Solve for x
    x = 2,203,847,135,296/726,230
  6. Step 6: Final answer
    x = 3,034,640.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.