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Finding the Third Proportional to 1,577,171.25 and 3,420,063

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Solution

The third proportional to 1,577,171.25 and 3,420,063 is: 7,416,335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,171.25 : 3,420,063 = 3,420,063 : x
  2. Step 2: Convert to fraction form
    1,577,171.25/3,420,063 = 3,420,063/x
  3. Step 3: Cross multiply
    1,577,171.25x = 3,420,063 × 3,420,063
  4. Step 4: Simplify right side
    1,577,171.25x = 11,696,830,923,969
  5. Step 5: Solve for x
    x = 11,696,830,923,969/1,577,171.25
  6. Step 6: Final answer
    x = 7,416,335.37

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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.