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Finding the Third Proportional to 798,177 and 1,196,098

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Solution

The third proportional to 798,177 and 1,196,098 is: 1,792,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,177 : 1,196,098 = 1,196,098 : x
  2. Step 2: Convert to fraction form
    798,177/1,196,098 = 1,196,098/x
  3. Step 3: Cross multiply
    798,177x = 1,196,098 × 1,196,098
  4. Step 4: Simplify right side
    798,177x = 1,430,650,425,604
  5. Step 5: Solve for x
    x = 1,430,650,425,604/798,177
  6. Step 6: Final answer
    x = 1,792,397.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.