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Finding the Third Proportional to 476,788 and 992,768

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Solution

The third proportional to 476,788 and 992,768 is: 2,067,141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,788 : 992,768 = 992,768 : x
  2. Step 2: Convert to fraction form
    476,788/992,768 = 992,768/x
  3. Step 3: Cross multiply
    476,788x = 992,768 × 992,768
  4. Step 4: Simplify right side
    476,788x = 985,588,301,824
  5. Step 5: Solve for x
    x = 985,588,301,824/476,788
  6. Step 6: Final answer
    x = 2,067,141.58

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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.