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Finding the Third Proportional to 2,327,466 and 3,632,672.44

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Solution

The third proportional to 2,327,466 and 3,632,672.44 is: 5,669,818.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327,466 : 3,632,672.44 = 3,632,672.44 : x
  2. Step 2: Convert to fraction form
    2,327,466/3,632,672.44 = 3,632,672.44/x
  3. Step 3: Cross multiply
    2,327,466x = 3,632,672.44 × 3,632,672.44
  4. Step 4: Simplify right side
    2,327,466x = 13,196,309,038,172.19
  5. Step 5: Solve for x
    x = 13,196,309,038,172.19/2,327,466
  6. Step 6: Final answer
    x = 5,669,818.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.