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Finding the Third Proportional to 2,031,577 and 4,231,299

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Solution

The third proportional to 2,031,577 and 4,231,299 is: 8,812,804.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,577 : 4,231,299 = 4,231,299 : x
  2. Step 2: Convert to fraction form
    2,031,577/4,231,299 = 4,231,299/x
  3. Step 3: Cross multiply
    2,031,577x = 4,231,299 × 4,231,299
  4. Step 4: Simplify right side
    2,031,577x = 17,903,891,227,401
  5. Step 5: Solve for x
    x = 17,903,891,227,401/2,031,577
  6. Step 6: Final answer
    x = 8,812,804.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.