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Finding the Third Proportional to 414,906 and 845,028

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Solution

The third proportional to 414,906 and 845,028 is: 1,721,046.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,906 : 845,028 = 845,028 : x
  2. Step 2: Convert to fraction form
    414,906/845,028 = 845,028/x
  3. Step 3: Cross multiply
    414,906x = 845,028 × 845,028
  4. Step 4: Simplify right side
    414,906x = 714,072,320,784
  5. Step 5: Solve for x
    x = 714,072,320,784/414,906
  6. Step 6: Final answer
    x = 1,721,046.02

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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.