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Finding the Third Proportional to 617,540 and 923,702

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Solution

The third proportional to 617,540 and 923,702 is: 1,381,652.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,540 : 923,702 = 923,702 : x
  2. Step 2: Convert to fraction form
    617,540/923,702 = 923,702/x
  3. Step 3: Cross multiply
    617,540x = 923,702 × 923,702
  4. Step 4: Simplify right side
    617,540x = 853,225,384,804
  5. Step 5: Solve for x
    x = 853,225,384,804/617,540
  6. Step 6: Final answer
    x = 1,381,652.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.