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Finding the Third Proportional to 2,924,206 and 6,520,782

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Solution

The third proportional to 2,924,206 and 6,520,782 is: 14,540,903.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924,206 : 6,520,782 = 6,520,782 : x
  2. Step 2: Convert to fraction form
    2,924,206/6,520,782 = 6,520,782/x
  3. Step 3: Cross multiply
    2,924,206x = 6,520,782 × 6,520,782
  4. Step 4: Simplify right side
    2,924,206x = 42,520,597,891,524
  5. Step 5: Solve for x
    x = 42,520,597,891,524/2,924,206
  6. Step 6: Final answer
    x = 14,540,903.72

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.