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Finding the Third Proportional to 902,698 and 2,174,999

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Solution

The third proportional to 902,698 and 2,174,999 is: 5,240,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,698 : 2,174,999 = 2,174,999 : x
  2. Step 2: Convert to fraction form
    902,698/2,174,999 = 2,174,999/x
  3. Step 3: Cross multiply
    902,698x = 2,174,999 × 2,174,999
  4. Step 4: Simplify right side
    902,698x = 4,730,620,650,001
  5. Step 5: Solve for x
    x = 4,730,620,650,001/902,698
  6. Step 6: Final answer
    x = 5,240,535.21

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.