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Finding the Third Proportional to 1,664,231.06 and 3,581,273.25

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Solution

The third proportional to 1,664,231.06 and 3,581,273.25 is: 7,706,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664,231.06 : 3,581,273.25 = 3,581,273.25 : x
  2. Step 2: Convert to fraction form
    1,664,231.06/3,581,273.25 = 3,581,273.25/x
  3. Step 3: Cross multiply
    1,664,231.06x = 3,581,273.25 × 3,581,273.25
  4. Step 4: Simplify right side
    1,664,231.06x = 12,825,518,091,165.56
  5. Step 5: Solve for x
    x = 12,825,518,091,165.56/1,664,231.06
  6. Step 6: Final answer
    x = 7,706,572.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.