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Finding the Third Proportional to 427,364 and 914,020

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Solution

The third proportional to 427,364 and 914,020 is: 1,954,850.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,364 : 914,020 = 914,020 : x
  2. Step 2: Convert to fraction form
    427,364/914,020 = 914,020/x
  3. Step 3: Cross multiply
    427,364x = 914,020 × 914,020
  4. Step 4: Simplify right side
    427,364x = 835,432,560,400
  5. Step 5: Solve for x
    x = 835,432,560,400/427,364
  6. Step 6: Final answer
    x = 1,954,850.11

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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.