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Finding the Third Proportional to 920,976 and 1,322,172

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Solution

The third proportional to 920,976 and 1,322,172 is: 1,898,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,976 : 1,322,172 = 1,322,172 : x
  2. Step 2: Convert to fraction form
    920,976/1,322,172 = 1,322,172/x
  3. Step 3: Cross multiply
    920,976x = 1,322,172 × 1,322,172
  4. Step 4: Simplify right side
    920,976x = 1,748,138,797,584
  5. Step 5: Solve for x
    x = 1,748,138,797,584/920,976
  6. Step 6: Final answer
    x = 1,898,137.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.