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Finding the Third Proportional to 785,398 and 1,200,927

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Solution

The third proportional to 785,398 and 1,200,927 is: 1,836,299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,398 : 1,200,927 = 1,200,927 : x
  2. Step 2: Convert to fraction form
    785,398/1,200,927 = 1,200,927/x
  3. Step 3: Cross multiply
    785,398x = 1,200,927 × 1,200,927
  4. Step 4: Simplify right side
    785,398x = 1,442,225,659,329
  5. Step 5: Solve for x
    x = 1,442,225,659,329/785,398
  6. Step 6: Final answer
    x = 1,836,299.12

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.