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Finding the Third Proportional to 3,490,067.25 and 5,026,718.25

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Solution

The third proportional to 3,490,067.25 and 5,026,718.25 is: 7,239,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490,067.25 : 5,026,718.25 = 5,026,718.25 : x
  2. Step 2: Convert to fraction form
    3,490,067.25/5,026,718.25 = 5,026,718.25/x
  3. Step 3: Cross multiply
    3,490,067.25x = 5,026,718.25 × 5,026,718.25
  4. Step 4: Simplify right side
    3,490,067.25x = 25,267,896,364,883.06
  5. Step 5: Solve for x
    x = 25,267,896,364,883.06/3,490,067.25
  6. Step 6: Final answer
    x = 7,239,945.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.