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Finding the Third Proportional to 414,908 and 845,032

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Solution

The third proportional to 414,908 and 845,032 is: 1,721,054.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,908 : 845,032 = 845,032 : x
  2. Step 2: Convert to fraction form
    414,908/845,032 = 845,032/x
  3. Step 3: Cross multiply
    414,908x = 845,032 × 845,032
  4. Step 4: Simplify right side
    414,908x = 714,079,081,024
  5. Step 5: Solve for x
    x = 714,079,081,024/414,908
  6. Step 6: Final answer
    x = 1,721,054.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.