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Finding the Third Proportional to 427,360 and 914,012

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Solution

The third proportional to 427,360 and 914,012 is: 1,954,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,360 : 914,012 = 914,012 : x
  2. Step 2: Convert to fraction form
    427,360/914,012 = 914,012/x
  3. Step 3: Cross multiply
    427,360x = 914,012 × 914,012
  4. Step 4: Simplify right side
    427,360x = 835,417,936,144
  5. Step 5: Solve for x
    x = 835,417,936,144/427,360
  6. Step 6: Final answer
    x = 1,954,834.18

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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.