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Finding the Third Proportional to 854,294 and 1,237,374

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Solution

The third proportional to 854,294 and 1,237,374 is: 1,792,233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,294 : 1,237,374 = 1,237,374 : x
  2. Step 2: Convert to fraction form
    854,294/1,237,374 = 1,237,374/x
  3. Step 3: Cross multiply
    854,294x = 1,237,374 × 1,237,374
  4. Step 4: Simplify right side
    854,294x = 1,531,094,415,876
  5. Step 5: Solve for x
    x = 1,531,094,415,876/854,294
  6. Step 6: Final answer
    x = 1,792,233.61

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.