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Finding the Third Proportional to 456,616 and 991,042

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Solution

The third proportional to 456,616 and 991,042 is: 2,150,963.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,616 : 991,042 = 991,042 : x
  2. Step 2: Convert to fraction form
    456,616/991,042 = 991,042/x
  3. Step 3: Cross multiply
    456,616x = 991,042 × 991,042
  4. Step 4: Simplify right side
    456,616x = 982,164,245,764
  5. Step 5: Solve for x
    x = 982,164,245,764/456,616
  6. Step 6: Final answer
    x = 2,150,963.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.