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Finding the Third Proportional to 491,655 and 1,069,834

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Solution

The third proportional to 491,655 and 1,069,834 is: 2,327,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,655 : 1,069,834 = 1,069,834 : x
  2. Step 2: Convert to fraction form
    491,655/1,069,834 = 1,069,834/x
  3. Step 3: Cross multiply
    491,655x = 1,069,834 × 1,069,834
  4. Step 4: Simplify right side
    491,655x = 1,144,544,787,556
  5. Step 5: Solve for x
    x = 1,144,544,787,556/491,655
  6. Step 6: Final answer
    x = 2,327,942.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.