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Finding the Third Proportional to 862,530 and 1,235,079

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Solution

The third proportional to 862,530 and 1,235,079 is: 1,768,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,530 : 1,235,079 = 1,235,079 : x
  2. Step 2: Convert to fraction form
    862,530/1,235,079 = 1,235,079/x
  3. Step 3: Cross multiply
    862,530x = 1,235,079 × 1,235,079
  4. Step 4: Simplify right side
    862,530x = 1,525,420,136,241
  5. Step 5: Solve for x
    x = 1,525,420,136,241/862,530
  6. Step 6: Final answer
    x = 1,768,541.54

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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.