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Finding the Third Proportional to 836,272 and 1,262,192

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Solution

The third proportional to 836,272 and 1,262,192 is: 1,905,036.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,272 : 1,262,192 = 1,262,192 : x
  2. Step 2: Convert to fraction form
    836,272/1,262,192 = 1,262,192/x
  3. Step 3: Cross multiply
    836,272x = 1,262,192 × 1,262,192
  4. Step 4: Simplify right side
    836,272x = 1,593,128,644,864
  5. Step 5: Solve for x
    x = 1,593,128,644,864/836,272
  6. Step 6: Final answer
    x = 1,905,036.45

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Why These Related Problems?

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