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Finding the Third Proportional to 3,810,312.50 and 5,248,908.75

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Solution

The third proportional to 3,810,312.50 and 5,248,908.75 is: 7,230,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810,312.50 : 5,248,908.75 = 5,248,908.75 : x
  2. Step 2: Convert to fraction form
    3,810,312.50/5,248,908.75 = 5,248,908.75/x
  3. Step 3: Cross multiply
    3,810,312.50x = 5,248,908.75 × 5,248,908.75
  4. Step 4: Simplify right side
    3,810,312.50x = 27,551,043,065,826.56
  5. Step 5: Solve for x
    x = 27,551,043,065,826.56/3,810,312.50
  6. Step 6: Final answer
    x = 7,230,651.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.