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Finding the Third Proportional to 524,005 and 1,131,682

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Solution

The third proportional to 524,005 and 1,131,682 is: 2,444,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,005 : 1,131,682 = 1,131,682 : x
  2. Step 2: Convert to fraction form
    524,005/1,131,682 = 1,131,682/x
  3. Step 3: Cross multiply
    524,005x = 1,131,682 × 1,131,682
  4. Step 4: Simplify right side
    524,005x = 1,280,704,149,124
  5. Step 5: Solve for x
    x = 1,280,704,149,124/524,005
  6. Step 6: Final answer
    x = 2,444,068.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.