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Finding the Third Proportional to 460,281 and 984,530

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Solution

The third proportional to 460,281 and 984,530 is: 2,105,886.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,281 : 984,530 = 984,530 : x
  2. Step 2: Convert to fraction form
    460,281/984,530 = 984,530/x
  3. Step 3: Cross multiply
    460,281x = 984,530 × 984,530
  4. Step 4: Simplify right side
    460,281x = 969,299,320,900
  5. Step 5: Solve for x
    x = 969,299,320,900/460,281
  6. Step 6: Final answer
    x = 2,105,886.02

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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.