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Finding the Third Proportional to 476,784 and 992,760

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Solution

The third proportional to 476,784 and 992,760 is: 2,067,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,784 : 992,760 = 992,760 : x
  2. Step 2: Convert to fraction form
    476,784/992,760 = 992,760/x
  3. Step 3: Cross multiply
    476,784x = 992,760 × 992,760
  4. Step 4: Simplify right side
    476,784x = 985,572,417,600
  5. Step 5: Solve for x
    x = 985,572,417,600/476,784
  6. Step 6: Final answer
    x = 2,067,125.61

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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.