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Finding the Third Proportional to 2,532,184.50 and 5,856,975

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Solution

The third proportional to 2,532,184.50 and 5,856,975 is: 13,547,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532,184.50 : 5,856,975 = 5,856,975 : x
  2. Step 2: Convert to fraction form
    2,532,184.50/5,856,975 = 5,856,975/x
  3. Step 3: Cross multiply
    2,532,184.50x = 5,856,975 × 5,856,975
  4. Step 4: Simplify right side
    2,532,184.50x = 34,304,156,150,625
  5. Step 5: Solve for x
    x = 34,304,156,150,625/2,532,184.50
  6. Step 6: Final answer
    x = 13,547,257.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.