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Finding the Third Proportional to 1,794,657.13 and 3,938,015.44

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Solution

The third proportional to 1,794,657.13 and 3,938,015.44 is: 8,641,185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794,657.13 : 3,938,015.44 = 3,938,015.44 : x
  2. Step 2: Convert to fraction form
    1,794,657.13/3,938,015.44 = 3,938,015.44/x
  3. Step 3: Cross multiply
    1,794,657.13x = 3,938,015.44 × 3,938,015.44
  4. Step 4: Simplify right side
    1,794,657.13x = 15,507,965,585,988.32
  5. Step 5: Solve for x
    x = 15,507,965,585,988.32/1,794,657.13
  6. Step 6: Final answer
    x = 8,641,185.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.