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Finding the Third Proportional to 460,284 and 984,536

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Solution

The third proportional to 460,284 and 984,536 is: 2,105,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,284 : 984,536 = 984,536 : x
  2. Step 2: Convert to fraction form
    460,284/984,536 = 984,536/x
  3. Step 3: Cross multiply
    460,284x = 984,536 × 984,536
  4. Step 4: Simplify right side
    460,284x = 969,311,135,296
  5. Step 5: Solve for x
    x = 969,311,135,296/460,284
  6. Step 6: Final answer
    x = 2,105,897.96

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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.