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Finding the Third Proportional to 465,850 and 992,708

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Solution

The third proportional to 465,850 and 992,708 is: 2,115,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,850 : 992,708 = 992,708 : x
  2. Step 2: Convert to fraction form
    465,850/992,708 = 992,708/x
  3. Step 3: Cross multiply
    465,850x = 992,708 × 992,708
  4. Step 4: Simplify right side
    465,850x = 985,469,173,264
  5. Step 5: Solve for x
    x = 985,469,173,264/465,850
  6. Step 6: Final answer
    x = 2,115,421.64

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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.