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Finding the Third Proportional to 2,924,212 and 6,520,794

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Solution

The third proportional to 2,924,212 and 6,520,794 is: 14,540,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924,212 : 6,520,794 = 6,520,794 : x
  2. Step 2: Convert to fraction form
    2,924,212/6,520,794 = 6,520,794/x
  3. Step 3: Cross multiply
    2,924,212x = 6,520,794 × 6,520,794
  4. Step 4: Simplify right side
    2,924,212x = 42,520,754,390,436
  5. Step 5: Solve for x
    x = 42,520,754,390,436/2,924,212
  6. Step 6: Final answer
    x = 14,540,927.40

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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.