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Finding the Third Proportional to 461,808 and 992,378.25

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Solution

The third proportional to 461,808 and 992,378.25 is: 2,132,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,808 : 992,378.25 = 992,378.25 : x
  2. Step 2: Convert to fraction form
    461,808/992,378.25 = 992,378.25/x
  3. Step 3: Cross multiply
    461,808x = 992,378.25 × 992,378.25
  4. Step 4: Simplify right side
    461,808x = 984,814,591,073.06
  5. Step 5: Solve for x
    x = 984,814,591,073.06/461,808
  6. Step 6: Final answer
    x = 2,132,519.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.