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Finding the Third Proportional to 465,680 and 992,416

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Solution

The third proportional to 465,680 and 992,416 is: 2,114,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,680 : 992,416 = 992,416 : x
  2. Step 2: Convert to fraction form
    465,680/992,416 = 992,416/x
  3. Step 3: Cross multiply
    465,680x = 992,416 × 992,416
  4. Step 4: Simplify right side
    465,680x = 984,889,517,056
  5. Step 5: Solve for x
    x = 984,889,517,056/465,680
  6. Step 6: Final answer
    x = 2,114,949.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.