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Finding the Third Proportional to 1,966,067.44 and 2,656,273.50

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Solution

The third proportional to 1,966,067.44 and 2,656,273.50 is: 3,588,782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966,067.44 : 2,656,273.50 = 2,656,273.50 : x
  2. Step 2: Convert to fraction form
    1,966,067.44/2,656,273.50 = 2,656,273.50/x
  3. Step 3: Cross multiply
    1,966,067.44x = 2,656,273.50 × 2,656,273.50
  4. Step 4: Simplify right side
    1,966,067.44x = 7,055,788,906,802.25
  5. Step 5: Solve for x
    x = 7,055,788,906,802.25/1,966,067.44
  6. Step 6: Final answer
    x = 3,588,782.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.