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Finding the Third Proportional to 464,576 and 984,974

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Solution

The third proportional to 464,576 and 984,974 is: 2,088,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,576 : 984,974 = 984,974 : x
  2. Step 2: Convert to fraction form
    464,576/984,974 = 984,974/x
  3. Step 3: Cross multiply
    464,576x = 984,974 × 984,974
  4. Step 4: Simplify right side
    464,576x = 970,173,780,676
  5. Step 5: Solve for x
    x = 970,173,780,676/464,576
  6. Step 6: Final answer
    x = 2,088,299.40

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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.