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Finding the Third Proportional to 491,658 and 1,069,839

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Solution

The third proportional to 491,658 and 1,069,839 is: 2,327,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,658 : 1,069,839 = 1,069,839 : x
  2. Step 2: Convert to fraction form
    491,658/1,069,839 = 1,069,839/x
  3. Step 3: Cross multiply
    491,658x = 1,069,839 × 1,069,839
  4. Step 4: Simplify right side
    491,658x = 1,144,555,485,921
  5. Step 5: Solve for x
    x = 1,144,555,485,921/491,658
  6. Step 6: Final answer
    x = 2,327,950.50

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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.