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Finding the Third Proportional to 1,022,042 and 2,242,372

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Solution

The third proportional to 1,022,042 and 2,242,372 is: 4,919,790.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,042 : 2,242,372 = 2,242,372 : x
  2. Step 2: Convert to fraction form
    1,022,042/2,242,372 = 2,242,372/x
  3. Step 3: Cross multiply
    1,022,042x = 2,242,372 × 2,242,372
  4. Step 4: Simplify right side
    1,022,042x = 5,028,232,186,384
  5. Step 5: Solve for x
    x = 5,028,232,186,384/1,022,042
  6. Step 6: Final answer
    x = 4,919,790.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.