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Finding the Third Proportional to 465,672 and 992,400

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Solution

The third proportional to 465,672 and 992,400 is: 2,114,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,672 : 992,400 = 992,400 : x
  2. Step 2: Convert to fraction form
    465,672/992,400 = 992,400/x
  3. Step 3: Cross multiply
    465,672x = 992,400 × 992,400
  4. Step 4: Simplify right side
    465,672x = 984,857,760,000
  5. Step 5: Solve for x
    x = 984,857,760,000/465,672
  6. Step 6: Final answer
    x = 2,114,917.28

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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.