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Finding the Third Proportional to 2,924,233 and 6,520,842

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Solution

The third proportional to 2,924,233 and 6,520,842 is: 14,541,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924,233 : 6,520,842 = 6,520,842 : x
  2. Step 2: Convert to fraction form
    2,924,233/6,520,842 = 6,520,842/x
  3. Step 3: Cross multiply
    2,924,233x = 6,520,842 × 6,520,842
  4. Step 4: Simplify right side
    2,924,233x = 42,521,380,388,964
  5. Step 5: Solve for x
    x = 42,521,380,388,964/2,924,233
  6. Step 6: Final answer
    x = 14,541,037.05

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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.