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Finding the Third Proportional to 2,031,580 and 4,231,306

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Solution

The third proportional to 2,031,580 and 4,231,306 is: 8,812,820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,580 : 4,231,306 = 4,231,306 : x
  2. Step 2: Convert to fraction form
    2,031,580/4,231,306 = 4,231,306/x
  3. Step 3: Cross multiply
    2,031,580x = 4,231,306 × 4,231,306
  4. Step 4: Simplify right side
    2,031,580x = 17,903,950,465,636
  5. Step 5: Solve for x
    x = 17,903,950,465,636/2,031,580
  6. Step 6: Final answer
    x = 8,812,820.79

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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.