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Finding the Third Proportional to 3,172,891.50 and 4,833,695.25

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Solution

The third proportional to 3,172,891.50 and 4,833,695.25 is: 7,363,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172,891.50 : 4,833,695.25 = 4,833,695.25 : x
  2. Step 2: Convert to fraction form
    3,172,891.50/4,833,695.25 = 4,833,695.25/x
  3. Step 3: Cross multiply
    3,172,891.50x = 4,833,695.25 × 4,833,695.25
  4. Step 4: Simplify right side
    3,172,891.50x = 23,364,609,769,872.56
  5. Step 5: Solve for x
    x = 23,364,609,769,872.56/3,172,891.50
  6. Step 6: Final answer
    x = 7,363,822.48

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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.