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Finding the Third Proportional to 1,854,496.97 and 3,908,253.66

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Solution

The third proportional to 1,854,496.97 and 3,908,253.66 is: 8,236,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854,496.97 : 3,908,253.66 = 3,908,253.66 : x
  2. Step 2: Convert to fraction form
    1,854,496.97/3,908,253.66 = 3,908,253.66/x
  3. Step 3: Cross multiply
    1,854,496.97x = 3,908,253.66 × 3,908,253.66
  4. Step 4: Simplify right side
    1,854,496.97x = 15,274,446,641,591.49
  5. Step 5: Solve for x
    x = 15,274,446,641,591.49/1,854,496.97
  6. Step 6: Final answer
    x = 8,236,436.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.