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Finding the Third Proportional to 418,422 and 914,799

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Solution

The third proportional to 418,422 and 914,799 is: 2,000,031.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,422 : 914,799 = 914,799 : x
  2. Step 2: Convert to fraction form
    418,422/914,799 = 914,799/x
  3. Step 3: Cross multiply
    418,422x = 914,799 × 914,799
  4. Step 4: Simplify right side
    418,422x = 836,857,210,401
  5. Step 5: Solve for x
    x = 836,857,210,401/418,422
  6. Step 6: Final answer
    x = 2,000,031.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.