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Finding the Third Proportional to 825,530 and 1,140,696

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Solution

The third proportional to 825,530 and 1,140,696 is: 1,576,184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,530 : 1,140,696 = 1,140,696 : x
  2. Step 2: Convert to fraction form
    825,530/1,140,696 = 1,140,696/x
  3. Step 3: Cross multiply
    825,530x = 1,140,696 × 1,140,696
  4. Step 4: Simplify right side
    825,530x = 1,301,187,364,416
  5. Step 5: Solve for x
    x = 1,301,187,364,416/825,530
  6. Step 6: Final answer
    x = 1,576,184.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.