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Finding the Third Proportional to 1,159,089.75 and 2,524,105.13

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Solution

The third proportional to 1,159,089.75 and 2,524,105.13 is: 5,496,646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,089.75 : 2,524,105.13 = 2,524,105.13 : x
  2. Step 2: Convert to fraction form
    1,159,089.75/2,524,105.13 = 2,524,105.13/x
  3. Step 3: Cross multiply
    1,159,089.75x = 2,524,105.13 × 2,524,105.13
  4. Step 4: Simplify right side
    1,159,089.75x = 6,371,106,682,051.27
  5. Step 5: Solve for x
    x = 6,371,106,682,051.27/1,159,089.75
  6. Step 6: Final answer
    x = 5,496,646.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.