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Finding the Third Proportional to 3,971,314 and 6,136,578

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Solution

The third proportional to 3,971,314 and 6,136,578 is: 9,482,400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971,314 : 6,136,578 = 6,136,578 : x
  2. Step 2: Convert to fraction form
    3,971,314/6,136,578 = 6,136,578/x
  3. Step 3: Cross multiply
    3,971,314x = 6,136,578 × 6,136,578
  4. Step 4: Simplify right side
    3,971,314x = 37,657,589,550,084
  5. Step 5: Solve for x
    x = 37,657,589,550,084/3,971,314
  6. Step 6: Final answer
    x = 9,482,400.42

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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.