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Finding the Third Proportional to 862,529 and 1,235,077

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Solution

The third proportional to 862,529 and 1,235,077 is: 1,768,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,529 : 1,235,077 = 1,235,077 : x
  2. Step 2: Convert to fraction form
    862,529/1,235,077 = 1,235,077/x
  3. Step 3: Cross multiply
    862,529x = 1,235,077 × 1,235,077
  4. Step 4: Simplify right side
    862,529x = 1,525,415,195,929
  5. Step 5: Solve for x
    x = 1,525,415,195,929/862,529
  6. Step 6: Final answer
    x = 1,768,537.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.