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Finding the Third Proportional to 793,818 and 1,198,098

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Solution

The third proportional to 793,818 and 1,198,098 is: 1,808,271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,818 : 1,198,098 = 1,198,098 : x
  2. Step 2: Convert to fraction form
    793,818/1,198,098 = 1,198,098/x
  3. Step 3: Cross multiply
    793,818x = 1,198,098 × 1,198,098
  4. Step 4: Simplify right side
    793,818x = 1,435,438,817,604
  5. Step 5: Solve for x
    x = 1,435,438,817,604/793,818
  6. Step 6: Final answer
    x = 1,808,271.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.