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Finding the Third Proportional to 1,427,321.25 and 3,091,295.25

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Solution

The third proportional to 1,427,321.25 and 3,091,295.25 is: 6,695,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,321.25 : 3,091,295.25 = 3,091,295.25 : x
  2. Step 2: Convert to fraction form
    1,427,321.25/3,091,295.25 = 3,091,295.25/x
  3. Step 3: Cross multiply
    1,427,321.25x = 3,091,295.25 × 3,091,295.25
  4. Step 4: Simplify right side
    1,427,321.25x = 9,556,106,322,672.56
  5. Step 5: Solve for x
    x = 9,556,106,322,672.56/1,427,321.25
  6. Step 6: Final answer
    x = 6,695,133.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.