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Finding the Third Proportional to 853,782 and 1,236,585

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Solution

The third proportional to 853,782 and 1,236,585 is: 1,791,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,782 : 1,236,585 = 1,236,585 : x
  2. Step 2: Convert to fraction form
    853,782/1,236,585 = 1,236,585/x
  3. Step 3: Cross multiply
    853,782x = 1,236,585 × 1,236,585
  4. Step 4: Simplify right side
    853,782x = 1,529,142,462,225
  5. Step 5: Solve for x
    x = 1,529,142,462,225/853,782
  6. Step 6: Final answer
    x = 1,791,022.14

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.