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Finding the Third Proportional to 442,016 and 954,460

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Solution

The third proportional to 442,016 and 954,460 is: 2,060,997.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,016 : 954,460 = 954,460 : x
  2. Step 2: Convert to fraction form
    442,016/954,460 = 954,460/x
  3. Step 3: Cross multiply
    442,016x = 954,460 × 954,460
  4. Step 4: Simplify right side
    442,016x = 910,993,891,600
  5. Step 5: Solve for x
    x = 910,993,891,600/442,016
  6. Step 6: Final answer
    x = 2,060,997.55

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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.