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Finding the Third Proportional to 4,291,661 and 6,015,641

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Solution

The third proportional to 4,291,661 and 6,015,641 is: 8,432,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291,661 : 6,015,641 = 6,015,641 : x
  2. Step 2: Convert to fraction form
    4,291,661/6,015,641 = 6,015,641/x
  3. Step 3: Cross multiply
    4,291,661x = 6,015,641 × 6,015,641
  4. Step 4: Simplify right side
    4,291,661x = 36,187,936,640,881
  5. Step 5: Solve for x
    x = 36,187,936,640,881/4,291,661
  6. Step 6: Final answer
    x = 8,432,151.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.