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Finding the Third Proportional to 853,674 and 1,286,142

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Solution

The third proportional to 853,674 and 1,286,142 is: 1,937,696.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,674 : 1,286,142 = 1,286,142 : x
  2. Step 2: Convert to fraction form
    853,674/1,286,142 = 1,286,142/x
  3. Step 3: Cross multiply
    853,674x = 1,286,142 × 1,286,142
  4. Step 4: Simplify right side
    853,674x = 1,654,161,244,164
  5. Step 5: Solve for x
    x = 1,654,161,244,164/853,674
  6. Step 6: Final answer
    x = 1,937,696.64

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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.