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Finding the Third Proportional to 866,345 and 2,024,163

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Solution

The third proportional to 866,345 and 2,024,163 is: 4,729,335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,345 : 2,024,163 = 2,024,163 : x
  2. Step 2: Convert to fraction form
    866,345/2,024,163 = 2,024,163/x
  3. Step 3: Cross multiply
    866,345x = 2,024,163 × 2,024,163
  4. Step 4: Simplify right side
    866,345x = 4,097,235,850,569
  5. Step 5: Solve for x
    x = 4,097,235,850,569/866,345
  6. Step 6: Final answer
    x = 4,729,335.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.