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Finding the Third Proportional to 2,381,141.81 and 3,515,655.66

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Solution

The third proportional to 2,381,141.81 and 3,515,655.66 is: 5,190,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381,141.81 : 3,515,655.66 = 3,515,655.66 : x
  2. Step 2: Convert to fraction form
    2,381,141.81/3,515,655.66 = 3,515,655.66/x
  3. Step 3: Cross multiply
    2,381,141.81x = 3,515,655.66 × 3,515,655.66
  4. Step 4: Simplify right side
    2,381,141.81x = 12,359,834,693,322.62
  5. Step 5: Solve for x
    x = 12,359,834,693,322.62/2,381,141.81
  6. Step 6: Final answer
    x = 5,190,717.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.