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Finding the Third Proportional to 422,976 and 915,648

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Solution

The third proportional to 422,976 and 915,648 is: 1,982,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,976 : 915,648 = 915,648 : x
  2. Step 2: Convert to fraction form
    422,976/915,648 = 915,648/x
  3. Step 3: Cross multiply
    422,976x = 915,648 × 915,648
  4. Step 4: Simplify right side
    422,976x = 838,411,259,904
  5. Step 5: Solve for x
    x = 838,411,259,904/422,976
  6. Step 6: Final answer
    x = 1,982,172.18

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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.