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Finding the Third Proportional to 524,773.69 and 1,124,173.69

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Solution

The third proportional to 524,773.69 and 1,124,173.69 is: 2,408,212.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,773.69 : 1,124,173.69 = 1,124,173.69 : x
  2. Step 2: Convert to fraction form
    524,773.69/1,124,173.69 = 1,124,173.69/x
  3. Step 3: Cross multiply
    524,773.69x = 1,124,173.69 × 1,124,173.69
  4. Step 4: Simplify right side
    524,773.69x = 1,263,766,479,667.35
  5. Step 5: Solve for x
    x = 1,263,766,479,667.35/524,773.69
  6. Step 6: Final answer
    x = 2,408,212.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.