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Finding the Third Proportional to 1,589,185 and 3,449,281

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Solution

The third proportional to 1,589,185 and 3,449,281 is: 7,486,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589,185 : 3,449,281 = 3,449,281 : x
  2. Step 2: Convert to fraction form
    1,589,185/3,449,281 = 3,449,281/x
  3. Step 3: Cross multiply
    1,589,185x = 3,449,281 × 3,449,281
  4. Step 4: Simplify right side
    1,589,185x = 11,897,539,416,961
  5. Step 5: Solve for x
    x = 11,897,539,416,961/1,589,185
  6. Step 6: Final answer
    x = 7,486,566.65

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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.