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Finding the Third Proportional to 5,317,794 and 7,974,689

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Solution

The third proportional to 5,317,794 and 7,974,689 is: 11,959,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317,794 : 7,974,689 = 7,974,689 : x
  2. Step 2: Convert to fraction form
    5,317,794/7,974,689 = 7,974,689/x
  3. Step 3: Cross multiply
    5,317,794x = 7,974,689 × 7,974,689
  4. Step 4: Simplify right side
    5,317,794x = 63,595,664,646,721
  5. Step 5: Solve for x
    x = 63,595,664,646,721/5,317,794
  6. Step 6: Final answer
    x = 11,959,031.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.