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Finding the Third Proportional to 464,785 and 985,374

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Solution

The third proportional to 464,785 and 985,374 is: 2,089,056.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,785 : 985,374 = 985,374 : x
  2. Step 2: Convert to fraction form
    464,785/985,374 = 985,374/x
  3. Step 3: Cross multiply
    464,785x = 985,374 × 985,374
  4. Step 4: Simplify right side
    464,785x = 970,961,919,876
  5. Step 5: Solve for x
    x = 970,961,919,876/464,785
  6. Step 6: Final answer
    x = 2,089,056.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.