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Finding the Third Proportional to 426,652 and 914,026

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Solution

The third proportional to 426,652 and 914,026 is: 1,958,138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,652 : 914,026 = 914,026 : x
  2. Step 2: Convert to fraction form
    426,652/914,026 = 914,026/x
  3. Step 3: Cross multiply
    426,652x = 914,026 × 914,026
  4. Step 4: Simplify right side
    426,652x = 835,443,528,676
  5. Step 5: Solve for x
    x = 835,443,528,676/426,652
  6. Step 6: Final answer
    x = 1,958,138.08

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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.