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Finding the Third Proportional to 1,548,731.81 and 3,321,659.63

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Solution

The third proportional to 1,548,731.81 and 3,321,659.63 is: 7,124,166.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548,731.81 : 3,321,659.63 = 3,321,659.63 : x
  2. Step 2: Convert to fraction form
    1,548,731.81/3,321,659.63 = 3,321,659.63/x
  3. Step 3: Cross multiply
    1,548,731.81x = 3,321,659.63 × 3,321,659.63
  4. Step 4: Simplify right side
    1,548,731.81x = 11,033,422,664,355.14
  5. Step 5: Solve for x
    x = 11,033,422,664,355.14/1,548,731.81
  6. Step 6: Final answer
    x = 7,124,166.09

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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.