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Finding the Third Proportional to 619,313 and 905,073

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Solution

The third proportional to 619,313 and 905,073 is: 1,322,686.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,313 : 905,073 = 905,073 : x
  2. Step 2: Convert to fraction form
    619,313/905,073 = 905,073/x
  3. Step 3: Cross multiply
    619,313x = 905,073 × 905,073
  4. Step 4: Simplify right side
    619,313x = 819,157,135,329
  5. Step 5: Solve for x
    x = 819,157,135,329/619,313
  6. Step 6: Final answer
    x = 1,322,686.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.