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Finding the Third Proportional to 836,256 and 1,262,160

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Solution

The third proportional to 836,256 and 1,262,160 is: 1,904,976.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,256 : 1,262,160 = 1,262,160 : x
  2. Step 2: Convert to fraction form
    836,256/1,262,160 = 1,262,160/x
  3. Step 3: Cross multiply
    836,256x = 1,262,160 × 1,262,160
  4. Step 4: Simplify right side
    836,256x = 1,593,047,865,600
  5. Step 5: Solve for x
    x = 1,593,047,865,600/836,256
  6. Step 6: Final answer
    x = 1,904,976.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.