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Finding the Third Proportional to 431,212 and 929,816

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Solution

The third proportional to 431,212 and 929,816 is: 2,004,948.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,212 : 929,816 = 929,816 : x
  2. Step 2: Convert to fraction form
    431,212/929,816 = 929,816/x
  3. Step 3: Cross multiply
    431,212x = 929,816 × 929,816
  4. Step 4: Simplify right side
    431,212x = 864,557,793,856
  5. Step 5: Solve for x
    x = 864,557,793,856/431,212
  6. Step 6: Final answer
    x = 2,004,948.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.