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Finding the Third Proportional to 901,171 and 1,351,937

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Solution

The third proportional to 901,171 and 1,351,937 is: 2,028,176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,171 : 1,351,937 = 1,351,937 : x
  2. Step 2: Convert to fraction form
    901,171/1,351,937 = 1,351,937/x
  3. Step 3: Cross multiply
    901,171x = 1,351,937 × 1,351,937
  4. Step 4: Simplify right side
    901,171x = 1,827,733,651,969
  5. Step 5: Solve for x
    x = 1,827,733,651,969/901,171
  6. Step 6: Final answer
    x = 2,028,176.29

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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.