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Finding the Third Proportional to 464,584 and 984,990

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Solution

The third proportional to 464,584 and 984,990 is: 2,088,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,584 : 984,990 = 984,990 : x
  2. Step 2: Convert to fraction form
    464,584/984,990 = 984,990/x
  3. Step 3: Cross multiply
    464,584x = 984,990 × 984,990
  4. Step 4: Simplify right side
    464,584x = 970,205,300,100
  5. Step 5: Solve for x
    x = 970,205,300,100/464,584
  6. Step 6: Final answer
    x = 2,088,331.28

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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.