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Finding the Third Proportional to 1,445,227.50 and 3,147,837

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Solution

The third proportional to 1,445,227.50 and 3,147,837 is: 6,856,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445,227.50 : 3,147,837 = 3,147,837 : x
  2. Step 2: Convert to fraction form
    1,445,227.50/3,147,837 = 3,147,837/x
  3. Step 3: Cross multiply
    1,445,227.50x = 3,147,837 × 3,147,837
  4. Step 4: Simplify right side
    1,445,227.50x = 9,908,877,778,569
  5. Step 5: Solve for x
    x = 9,908,877,778,569/1,445,227.50
  6. Step 6: Final answer
    x = 6,856,275.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.