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Finding the Third Proportional to 523,530 and 1,139,765

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Solution

The third proportional to 523,530 and 1,139,765 is: 2,481,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,530 : 1,139,765 = 1,139,765 : x
  2. Step 2: Convert to fraction form
    523,530/1,139,765 = 1,139,765/x
  3. Step 3: Cross multiply
    523,530x = 1,139,765 × 1,139,765
  4. Step 4: Simplify right side
    523,530x = 1,299,064,255,225
  5. Step 5: Solve for x
    x = 1,299,064,255,225/523,530
  6. Step 6: Final answer
    x = 2,481,355.90

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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.