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Finding the Third Proportional to 464,567 and 984,956

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Solution

The third proportional to 464,567 and 984,956 is: 2,088,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,567 : 984,956 = 984,956 : x
  2. Step 2: Convert to fraction form
    464,567/984,956 = 984,956/x
  3. Step 3: Cross multiply
    464,567x = 984,956 × 984,956
  4. Step 4: Simplify right side
    464,567x = 970,138,321,936
  5. Step 5: Solve for x
    x = 970,138,321,936/464,567
  6. Step 6: Final answer
    x = 2,088,263.53

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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.