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Finding the Third Proportional to 4,309,791 and 6,427,317

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Solution

The third proportional to 4,309,791 and 6,427,317 is: 9,585,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309,791 : 6,427,317 = 6,427,317 : x
  2. Step 2: Convert to fraction form
    4,309,791/6,427,317 = 6,427,317/x
  3. Step 3: Cross multiply
    4,309,791x = 6,427,317 × 6,427,317
  4. Step 4: Simplify right side
    4,309,791x = 41,310,403,818,489
  5. Step 5: Solve for x
    x = 41,310,403,818,489/4,309,791
  6. Step 6: Final answer
    x = 9,585,245.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.