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Finding the Third Proportional to 836,249 and 1,256,257.50

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Solution

The third proportional to 836,249 and 1,256,257.50 is: 1,887,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,249 : 1,256,257.50 = 1,256,257.50 : x
  2. Step 2: Convert to fraction form
    836,249/1,256,257.50 = 1,256,257.50/x
  3. Step 3: Cross multiply
    836,249x = 1,256,257.50 × 1,256,257.50
  4. Step 4: Simplify right side
    836,249x = 1,578,182,906,306.25
  5. Step 5: Solve for x
    x = 1,578,182,906,306.25/836,249
  6. Step 6: Final answer
    x = 1,887,216.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.