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Finding the Third Proportional to 508,746 and 1,106,067

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Solution

The third proportional to 508,746 and 1,106,067 is: 2,404,705.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,746 : 1,106,067 = 1,106,067 : x
  2. Step 2: Convert to fraction form
    508,746/1,106,067 = 1,106,067/x
  3. Step 3: Cross multiply
    508,746x = 1,106,067 × 1,106,067
  4. Step 4: Simplify right side
    508,746x = 1,223,384,208,489
  5. Step 5: Solve for x
    x = 1,223,384,208,489/508,746
  6. Step 6: Final answer
    x = 2,404,705.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.