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Finding the Third Proportional to 1,023,637.50 and 1,589,412.38

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Solution

The third proportional to 1,023,637.50 and 1,589,412.38 is: 2,467,896.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,637.50 : 1,589,412.38 = 1,589,412.38 : x
  2. Step 2: Convert to fraction form
    1,023,637.50/1,589,412.38 = 1,589,412.38/x
  3. Step 3: Cross multiply
    1,023,637.50x = 1,589,412.38 × 1,589,412.38
  4. Step 4: Simplify right side
    1,023,637.50x = 2,526,231,697,803.14
  5. Step 5: Solve for x
    x = 2,526,231,697,803.14/1,023,637.50
  6. Step 6: Final answer
    x = 2,467,896.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.