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Finding the Third Proportional to 442,206 and 1,039,419

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Solution

The third proportional to 442,206 and 1,039,419 is: 2,443,186.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,206 : 1,039,419 = 1,039,419 : x
  2. Step 2: Convert to fraction form
    442,206/1,039,419 = 1,039,419/x
  3. Step 3: Cross multiply
    442,206x = 1,039,419 × 1,039,419
  4. Step 4: Simplify right side
    442,206x = 1,080,391,857,561
  5. Step 5: Solve for x
    x = 1,080,391,857,561/442,206
  6. Step 6: Final answer
    x = 2,443,186.79

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.