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Finding the Third Proportional to 417,067 and 917,077

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Solution

The third proportional to 417,067 and 917,077 is: 2,016,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,067 : 917,077 = 917,077 : x
  2. Step 2: Convert to fraction form
    417,067/917,077 = 917,077/x
  3. Step 3: Cross multiply
    417,067x = 917,077 × 917,077
  4. Step 4: Simplify right side
    417,067x = 841,030,223,929
  5. Step 5: Solve for x
    x = 841,030,223,929/417,067
  6. Step 6: Final answer
    x = 2,016,535.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.