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Finding the Third Proportional to 427,366 and 914,024

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Solution

The third proportional to 427,366 and 914,024 is: 1,954,858.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,366 : 914,024 = 914,024 : x
  2. Step 2: Convert to fraction form
    427,366/914,024 = 914,024/x
  3. Step 3: Cross multiply
    427,366x = 914,024 × 914,024
  4. Step 4: Simplify right side
    427,366x = 835,439,872,576
  5. Step 5: Solve for x
    x = 835,439,872,576/427,366
  6. Step 6: Final answer
    x = 1,954,858.07

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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.