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Finding the Third Proportional to 442,150 and 954,898

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Solution

The third proportional to 442,150 and 954,898 is: 2,062,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,150 : 954,898 = 954,898 : x
  2. Step 2: Convert to fraction form
    442,150/954,898 = 954,898/x
  3. Step 3: Cross multiply
    442,150x = 954,898 × 954,898
  4. Step 4: Simplify right side
    442,150x = 911,830,190,404
  5. Step 5: Solve for x
    x = 911,830,190,404/442,150
  6. Step 6: Final answer
    x = 2,062,264.37

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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.