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Finding the Third Proportional to 581,892 and 903,105

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Solution

The third proportional to 581,892 and 903,105 is: 1,401,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,892 : 903,105 = 903,105 : x
  2. Step 2: Convert to fraction form
    581,892/903,105 = 903,105/x
  3. Step 3: Cross multiply
    581,892x = 903,105 × 903,105
  4. Step 4: Simplify right side
    581,892x = 815,598,641,025
  5. Step 5: Solve for x
    x = 815,598,641,025/581,892
  6. Step 6: Final answer
    x = 1,401,632.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.