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Finding the Third Proportional to 1,517,791 and 3,232,214

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Solution

The third proportional to 1,517,791 and 3,232,214 is: 6,883,165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517,791 : 3,232,214 = 3,232,214 : x
  2. Step 2: Convert to fraction form
    1,517,791/3,232,214 = 3,232,214/x
  3. Step 3: Cross multiply
    1,517,791x = 3,232,214 × 3,232,214
  4. Step 4: Simplify right side
    1,517,791x = 10,447,207,341,796
  5. Step 5: Solve for x
    x = 10,447,207,341,796/1,517,791
  6. Step 6: Final answer
    x = 6,883,165.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.