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Finding the Third Proportional to 838,378 and 1,185,151

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Solution

The third proportional to 838,378 and 1,185,151 is: 1,675,357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,378 : 1,185,151 = 1,185,151 : x
  2. Step 2: Convert to fraction form
    838,378/1,185,151 = 1,185,151/x
  3. Step 3: Cross multiply
    838,378x = 1,185,151 × 1,185,151
  4. Step 4: Simplify right side
    838,378x = 1,404,582,892,801
  5. Step 5: Solve for x
    x = 1,404,582,892,801/838,378
  6. Step 6: Final answer
    x = 1,675,357.53

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.