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Finding the Third Proportional to 1,129,524 and 2,319,180

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Solution

The third proportional to 1,129,524 and 2,319,180 is: 4,761,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129,524 : 2,319,180 = 2,319,180 : x
  2. Step 2: Convert to fraction form
    1,129,524/2,319,180 = 2,319,180/x
  3. Step 3: Cross multiply
    1,129,524x = 2,319,180 × 2,319,180
  4. Step 4: Simplify right side
    1,129,524x = 5,378,595,872,400
  5. Step 5: Solve for x
    x = 5,378,595,872,400/1,129,524
  6. Step 6: Final answer
    x = 4,761,825.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.