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Finding the Third Proportional to 1,548,727.31 and 3,321,656.02

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Solution

The third proportional to 1,548,727.31 and 3,321,656.02 is: 7,124,171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548,727.31 : 3,321,656.02 = 3,321,656.02 : x
  2. Step 2: Convert to fraction form
    1,548,727.31/3,321,656.02 = 3,321,656.02/x
  3. Step 3: Cross multiply
    1,548,727.31x = 3,321,656.02 × 3,321,656.02
  4. Step 4: Simplify right side
    1,548,727.31x = 11,033,398,686,137.75
  5. Step 5: Solve for x
    x = 11,033,398,686,137.75/1,548,727.31
  6. Step 6: Final answer
    x = 7,124,171.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.