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Finding the Third Proportional to 3,815,221.50 and 5,730,213.38

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Solution

The third proportional to 3,815,221.50 and 5,730,213.38 is: 8,606,406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815,221.50 : 5,730,213.38 = 5,730,213.38 : x
  2. Step 2: Convert to fraction form
    3,815,221.50/5,730,213.38 = 5,730,213.38/x
  3. Step 3: Cross multiply
    3,815,221.50x = 5,730,213.38 × 5,730,213.38
  4. Step 4: Simplify right side
    3,815,221.50x = 32,835,345,323,028.89
  5. Step 5: Solve for x
    x = 32,835,345,323,028.89/3,815,221.50
  6. Step 6: Final answer
    x = 8,606,406.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.