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Finding the Third Proportional to 2,187,524 and 3,423,765

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Solution

The third proportional to 2,187,524 and 3,423,765 is: 5,358,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187,524 : 3,423,765 = 3,423,765 : x
  2. Step 2: Convert to fraction form
    2,187,524/3,423,765 = 3,423,765/x
  3. Step 3: Cross multiply
    2,187,524x = 3,423,765 × 3,423,765
  4. Step 4: Simplify right side
    2,187,524x = 11,722,166,775,225
  5. Step 5: Solve for x
    x = 11,722,166,775,225/2,187,524
  6. Step 6: Final answer
    x = 5,358,646.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.