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Finding the Third Proportional to 441,278 and 952,522

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Solution

The third proportional to 441,278 and 952,522 is: 2,056,069.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,278 : 952,522 = 952,522 : x
  2. Step 2: Convert to fraction form
    441,278/952,522 = 952,522/x
  3. Step 3: Cross multiply
    441,278x = 952,522 × 952,522
  4. Step 4: Simplify right side
    441,278x = 907,298,160,484
  5. Step 5: Solve for x
    x = 907,298,160,484/441,278
  6. Step 6: Final answer
    x = 2,056,069.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.