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Finding the Third Proportional to 726,084 and 1,434,267

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Solution

The third proportional to 726,084 and 1,434,267 is: 2,833,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,084 : 1,434,267 = 1,434,267 : x
  2. Step 2: Convert to fraction form
    726,084/1,434,267 = 1,434,267/x
  3. Step 3: Cross multiply
    726,084x = 1,434,267 × 1,434,267
  4. Step 4: Simplify right side
    726,084x = 2,057,121,827,289
  5. Step 5: Solve for x
    x = 2,057,121,827,289/726,084
  6. Step 6: Final answer
    x = 2,833,173.33

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.