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Finding the Third Proportional to 460,272 and 984,516

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Solution

The third proportional to 460,272 and 984,516 is: 2,105,867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,272 : 984,516 = 984,516 : x
  2. Step 2: Convert to fraction form
    460,272/984,516 = 984,516/x
  3. Step 3: Cross multiply
    460,272x = 984,516 × 984,516
  4. Step 4: Simplify right side
    460,272x = 969,271,754,256
  5. Step 5: Solve for x
    x = 969,271,754,256/460,272
  6. Step 6: Final answer
    x = 2,105,867.30

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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.