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Finding the Third Proportional to 1,589,296.50 and 2,377,595.25

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Solution

The third proportional to 1,589,296.50 and 2,377,595.25 is: 3,556,893.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589,296.50 : 2,377,595.25 = 2,377,595.25 : x
  2. Step 2: Convert to fraction form
    1,589,296.50/2,377,595.25 = 2,377,595.25/x
  3. Step 3: Cross multiply
    1,589,296.50x = 2,377,595.25 × 2,377,595.25
  4. Step 4: Simplify right side
    1,589,296.50x = 5,652,959,172,822.56
  5. Step 5: Solve for x
    x = 5,652,959,172,822.56/1,589,296.50
  6. Step 6: Final answer
    x = 3,556,893.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.