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Finding the Third Proportional to 426,826 and 914,508

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Solution

The third proportional to 426,826 and 914,508 is: 1,959,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,826 : 914,508 = 914,508 : x
  2. Step 2: Convert to fraction form
    426,826/914,508 = 914,508/x
  3. Step 3: Cross multiply
    426,826x = 914,508 × 914,508
  4. Step 4: Simplify right side
    426,826x = 836,324,882,064
  5. Step 5: Solve for x
    x = 836,324,882,064/426,826
  6. Step 6: Final answer
    x = 1,959,404.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.