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Finding the Third Proportional to 853,191 and 1,200,072

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Solution

The third proportional to 853,191 and 1,200,072 is: 1,687,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,191 : 1,200,072 = 1,200,072 : x
  2. Step 2: Convert to fraction form
    853,191/1,200,072 = 1,200,072/x
  3. Step 3: Cross multiply
    853,191x = 1,200,072 × 1,200,072
  4. Step 4: Simplify right side
    853,191x = 1,440,172,805,184
  5. Step 5: Solve for x
    x = 1,440,172,805,184/853,191
  6. Step 6: Final answer
    x = 1,687,984.06

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.