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Finding the Third Proportional to 2,924,208 and 6,520,786

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Solution

The third proportional to 2,924,208 and 6,520,786 is: 14,540,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924,208 : 6,520,786 = 6,520,786 : x
  2. Step 2: Convert to fraction form
    2,924,208/6,520,786 = 6,520,786/x
  3. Step 3: Cross multiply
    2,924,208x = 6,520,786 × 6,520,786
  4. Step 4: Simplify right side
    2,924,208x = 42,520,650,057,796
  5. Step 5: Solve for x
    x = 42,520,650,057,796/2,924,208
  6. Step 6: Final answer
    x = 14,540,911.61

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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.