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Finding the Third Proportional to 1,845,807.75 and 2,794,213.13

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Solution

The third proportional to 1,845,807.75 and 2,794,213.13 is: 4,229,924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845,807.75 : 2,794,213.13 = 2,794,213.13 : x
  2. Step 2: Convert to fraction form
    1,845,807.75/2,794,213.13 = 2,794,213.13/x
  3. Step 3: Cross multiply
    1,845,807.75x = 2,794,213.13 × 2,794,213.13
  4. Step 4: Simplify right side
    1,845,807.75x = 7,807,626,987,922.27
  5. Step 5: Solve for x
    x = 7,807,626,987,922.27/1,845,807.75
  6. Step 6: Final answer
    x = 4,229,924.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.