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Finding the Third Proportional to 901,022 and 1,601,720

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Solution

The third proportional to 901,022 and 1,601,720 is: 2,847,329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,022 : 1,601,720 = 1,601,720 : x
  2. Step 2: Convert to fraction form
    901,022/1,601,720 = 1,601,720/x
  3. Step 3: Cross multiply
    901,022x = 1,601,720 × 1,601,720
  4. Step 4: Simplify right side
    901,022x = 2,565,506,958,400
  5. Step 5: Solve for x
    x = 2,565,506,958,400/901,022
  6. Step 6: Final answer
    x = 2,847,329.99

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.