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Finding the Third Proportional to 464,566 and 984,954

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Solution

The third proportional to 464,566 and 984,954 is: 2,088,259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,566 : 984,954 = 984,954 : x
  2. Step 2: Convert to fraction form
    464,566/984,954 = 984,954/x
  3. Step 3: Cross multiply
    464,566x = 984,954 × 984,954
  4. Step 4: Simplify right side
    464,566x = 970,134,382,116
  5. Step 5: Solve for x
    x = 970,134,382,116/464,566
  6. Step 6: Final answer
    x = 2,088,259.54

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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.