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Finding the Third Proportional to 757,928 and 1,637,296

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Solution

The third proportional to 757,928 and 1,637,296 is: 3,536,929.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,928 : 1,637,296 = 1,637,296 : x
  2. Step 2: Convert to fraction form
    757,928/1,637,296 = 1,637,296/x
  3. Step 3: Cross multiply
    757,928x = 1,637,296 × 1,637,296
  4. Step 4: Simplify right side
    757,928x = 2,680,738,191,616
  5. Step 5: Solve for x
    x = 2,680,738,191,616/757,928
  6. Step 6: Final answer
    x = 3,536,929.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.