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Finding the Third Proportional to 460,340 and 984,644

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Solution

The third proportional to 460,340 and 984,644 is: 2,106,103.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,340 : 984,644 = 984,644 : x
  2. Step 2: Convert to fraction form
    460,340/984,644 = 984,644/x
  3. Step 3: Cross multiply
    460,340x = 984,644 × 984,644
  4. Step 4: Simplify right side
    460,340x = 969,523,806,736
  5. Step 5: Solve for x
    x = 969,523,806,736/460,340
  6. Step 6: Final answer
    x = 2,106,103.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.