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Finding the Third Proportional to 1,285,784.25 and 1,751,297.63

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Solution

The third proportional to 1,285,784.25 and 1,751,297.63 is: 2,385,348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,784.25 : 1,751,297.63 = 1,751,297.63 : x
  2. Step 2: Convert to fraction form
    1,285,784.25/1,751,297.63 = 1,751,297.63/x
  3. Step 3: Cross multiply
    1,285,784.25x = 1,751,297.63 × 1,751,297.63
  4. Step 4: Simplify right side
    1,285,784.25x = 3,067,043,371,330.64
  5. Step 5: Solve for x
    x = 3,067,043,371,330.64/1,285,784.25
  6. Step 6: Final answer
    x = 2,385,348.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.