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Finding the Third Proportional to 461,925 and 992,604

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Solution

The third proportional to 461,925 and 992,604 is: 2,132,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,925 : 992,604 = 992,604 : x
  2. Step 2: Convert to fraction form
    461,925/992,604 = 992,604/x
  3. Step 3: Cross multiply
    461,925x = 992,604 × 992,604
  4. Step 4: Simplify right side
    461,925x = 985,262,700,816
  5. Step 5: Solve for x
    x = 985,262,700,816/461,925
  6. Step 6: Final answer
    x = 2,132,949.51

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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.