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Finding the Third Proportional to 1,757,270 and 3,836,749

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Solution

The third proportional to 1,757,270 and 3,836,749 is: 8,376,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757,270 : 3,836,749 = 3,836,749 : x
  2. Step 2: Convert to fraction form
    1,757,270/3,836,749 = 3,836,749/x
  3. Step 3: Cross multiply
    1,757,270x = 3,836,749 × 3,836,749
  4. Step 4: Simplify right side
    1,757,270x = 14,720,642,889,001
  5. Step 5: Solve for x
    x = 14,720,642,889,001/1,757,270
  6. Step 6: Final answer
    x = 8,376,995.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.