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Finding the Third Proportional to 4,234,434 and 6,729,317

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Solution

The third proportional to 4,234,434 and 6,729,317 is: 10,694,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234,434 : 6,729,317 = 6,729,317 : x
  2. Step 2: Convert to fraction form
    4,234,434/6,729,317 = 6,729,317/x
  3. Step 3: Cross multiply
    4,234,434x = 6,729,317 × 6,729,317
  4. Step 4: Simplify right side
    4,234,434x = 45,283,707,286,489
  5. Step 5: Solve for x
    x = 45,283,707,286,489/4,234,434
  6. Step 6: Final answer
    x = 10,694,158.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.