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Finding the Third Proportional to 414,210 and 905,952

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Solution

The third proportional to 414,210 and 905,952 is: 1,981,480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,210 : 905,952 = 905,952 : x
  2. Step 2: Convert to fraction form
    414,210/905,952 = 905,952/x
  3. Step 3: Cross multiply
    414,210x = 905,952 × 905,952
  4. Step 4: Simplify right side
    414,210x = 820,749,026,304
  5. Step 5: Solve for x
    x = 820,749,026,304/414,210
  6. Step 6: Final answer
    x = 1,981,480.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.