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Finding the Third Proportional to 460,662 and 996,780

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Solution

The third proportional to 460,662 and 996,780 is: 2,156,831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,662 : 996,780 = 996,780 : x
  2. Step 2: Convert to fraction form
    460,662/996,780 = 996,780/x
  3. Step 3: Cross multiply
    460,662x = 996,780 × 996,780
  4. Step 4: Simplify right side
    460,662x = 993,570,368,400
  5. Step 5: Solve for x
    x = 993,570,368,400/460,662
  6. Step 6: Final answer
    x = 2,156,831.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.