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Finding the Third Proportional to 853,166 and 1,288,820

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Solution

The third proportional to 853,166 and 1,288,820 is: 1,946,932.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,166 : 1,288,820 = 1,288,820 : x
  2. Step 2: Convert to fraction form
    853,166/1,288,820 = 1,288,820/x
  3. Step 3: Cross multiply
    853,166x = 1,288,820 × 1,288,820
  4. Step 4: Simplify right side
    853,166x = 1,661,056,992,400
  5. Step 5: Solve for x
    x = 1,661,056,992,400/853,166
  6. Step 6: Final answer
    x = 1,946,932.94

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