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Finding the Third Proportional to 1,397,297.25 and 2,845,980

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Solution

The third proportional to 1,397,297.25 and 2,845,980 is: 5,796,620.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,297.25 : 2,845,980 = 2,845,980 : x
  2. Step 2: Convert to fraction form
    1,397,297.25/2,845,980 = 2,845,980/x
  3. Step 3: Cross multiply
    1,397,297.25x = 2,845,980 × 2,845,980
  4. Step 4: Simplify right side
    1,397,297.25x = 8,099,602,160,400
  5. Step 5: Solve for x
    x = 8,099,602,160,400/1,397,297.25
  6. Step 6: Final answer
    x = 5,796,620.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.