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Finding the Third Proportional to 418,194 and 905,508

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Solution

The third proportional to 418,194 and 905,508 is: 1,960,680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,194 : 905,508 = 905,508 : x
  2. Step 2: Convert to fraction form
    418,194/905,508 = 905,508/x
  3. Step 3: Cross multiply
    418,194x = 905,508 × 905,508
  4. Step 4: Simplify right side
    418,194x = 819,944,738,064
  5. Step 5: Solve for x
    x = 819,944,738,064/418,194
  6. Step 6: Final answer
    x = 1,960,680.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.