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Finding the Third Proportional to 411,280 and 952,022

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Solution

The third proportional to 411,280 and 952,022 is: 2,203,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,280 : 952,022 = 952,022 : x
  2. Step 2: Convert to fraction form
    411,280/952,022 = 952,022/x
  3. Step 3: Cross multiply
    411,280x = 952,022 × 952,022
  4. Step 4: Simplify right side
    411,280x = 906,345,888,484
  5. Step 5: Solve for x
    x = 906,345,888,484/411,280
  6. Step 6: Final answer
    x = 2,203,719.82

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.