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Finding the Third Proportional to 1,589,157.56 and 3,449,228.06

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Solution

The third proportional to 1,589,157.56 and 3,449,228.06 is: 7,486,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589,157.56 : 3,449,228.06 = 3,449,228.06 : x
  2. Step 2: Convert to fraction form
    1,589,157.56/3,449,228.06 = 3,449,228.06/x
  3. Step 3: Cross multiply
    1,589,157.56x = 3,449,228.06 × 3,449,228.06
  4. Step 4: Simplify right side
    1,589,157.56x = 11,897,174,227,137.50
  5. Step 5: Solve for x
    x = 11,897,174,227,137.50/1,589,157.56
  6. Step 6: Final answer
    x = 7,486,466.10

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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.