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Finding the Third Proportional to 2,971,626 and 6,512,880

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Solution

The third proportional to 2,971,626 and 6,512,880 is: 14,274,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971,626 : 6,512,880 = 6,512,880 : x
  2. Step 2: Convert to fraction form
    2,971,626/6,512,880 = 6,512,880/x
  3. Step 3: Cross multiply
    2,971,626x = 6,512,880 × 6,512,880
  4. Step 4: Simplify right side
    2,971,626x = 42,417,605,894,400
  5. Step 5: Solve for x
    x = 42,417,605,894,400/2,971,626
  6. Step 6: Final answer
    x = 14,274,207.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.