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Finding the Third Proportional to 3,761,322 and 5,730,115

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Solution

The third proportional to 3,761,322 and 5,730,115 is: 8,729,435.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761,322 : 5,730,115 = 5,730,115 : x
  2. Step 2: Convert to fraction form
    3,761,322/5,730,115 = 5,730,115/x
  3. Step 3: Cross multiply
    3,761,322x = 5,730,115 × 5,730,115
  4. Step 4: Simplify right side
    3,761,322x = 32,834,217,913,225
  5. Step 5: Solve for x
    x = 32,834,217,913,225/3,761,322
  6. Step 6: Final answer
    x = 8,729,435.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.