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Finding the Third Proportional to 476,968 and 992,848

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Solution

The third proportional to 476,968 and 992,848 is: 2,066,694.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,968 : 992,848 = 992,848 : x
  2. Step 2: Convert to fraction form
    476,968/992,848 = 992,848/x
  3. Step 3: Cross multiply
    476,968x = 992,848 × 992,848
  4. Step 4: Simplify right side
    476,968x = 985,747,151,104
  5. Step 5: Solve for x
    x = 985,747,151,104/476,968
  6. Step 6: Final answer
    x = 2,066,694.52

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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.