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Finding the Third Proportional to 619,401.75 and 902,138.25

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Solution

The third proportional to 619,401.75 and 902,138.25 is: 1,313,934.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,401.75 : 902,138.25 = 902,138.25 : x
  2. Step 2: Convert to fraction form
    619,401.75/902,138.25 = 902,138.25/x
  3. Step 3: Cross multiply
    619,401.75x = 902,138.25 × 902,138.25
  4. Step 4: Simplify right side
    619,401.75x = 813,853,422,113.06
  5. Step 5: Solve for x
    x = 813,853,422,113.06/619,401.75
  6. Step 6: Final answer
    x = 1,313,934.65

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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.