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Finding the Third Proportional to 476,786 and 992,764

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Solution

The third proportional to 476,786 and 992,764 is: 2,067,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,786 : 992,764 = 992,764 : x
  2. Step 2: Convert to fraction form
    476,786/992,764 = 992,764/x
  3. Step 3: Cross multiply
    476,786x = 992,764 × 992,764
  4. Step 4: Simplify right side
    476,786x = 985,580,359,696
  5. Step 5: Solve for x
    x = 985,580,359,696/476,786
  6. Step 6: Final answer
    x = 2,067,133.60

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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.