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Finding the Third Proportional to 747,524 and 1,754,922

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Solution

The third proportional to 747,524 and 1,754,922 is: 4,119,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,524 : 1,754,922 = 1,754,922 : x
  2. Step 2: Convert to fraction form
    747,524/1,754,922 = 1,754,922/x
  3. Step 3: Cross multiply
    747,524x = 1,754,922 × 1,754,922
  4. Step 4: Simplify right side
    747,524x = 3,079,751,226,084
  5. Step 5: Solve for x
    x = 3,079,751,226,084/747,524
  6. Step 6: Final answer
    x = 4,119,936.25

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.