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Finding the Third Proportional to 476,774 and 992,750

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Solution

The third proportional to 476,774 and 992,750 is: 2,067,127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,774 : 992,750 = 992,750 : x
  2. Step 2: Convert to fraction form
    476,774/992,750 = 992,750/x
  3. Step 3: Cross multiply
    476,774x = 992,750 × 992,750
  4. Step 4: Simplify right side
    476,774x = 985,552,562,500
  5. Step 5: Solve for x
    x = 985,552,562,500/476,774
  6. Step 6: Final answer
    x = 2,067,127.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.