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Finding the Third Proportional to 4,867,397 and 7,566,589

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Solution

The third proportional to 4,867,397 and 7,566,589 is: 11,762,605.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867,397 : 7,566,589 = 7,566,589 : x
  2. Step 2: Convert to fraction form
    4,867,397/7,566,589 = 7,566,589/x
  3. Step 3: Cross multiply
    4,867,397x = 7,566,589 × 7,566,589
  4. Step 4: Simplify right side
    4,867,397x = 57,253,269,094,921
  5. Step 5: Solve for x
    x = 57,253,269,094,921/4,867,397
  6. Step 6: Final answer
    x = 11,762,605.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.