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Finding the Third Proportional to 426,812 and 914,479

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Solution

The third proportional to 426,812 and 914,479 is: 1,959,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,812 : 914,479 = 914,479 : x
  2. Step 2: Convert to fraction form
    426,812/914,479 = 914,479/x
  3. Step 3: Cross multiply
    426,812x = 914,479 × 914,479
  4. Step 4: Simplify right side
    426,812x = 836,271,841,441
  5. Step 5: Solve for x
    x = 836,271,841,441/426,812
  6. Step 6: Final answer
    x = 1,959,344.73

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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.