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Finding the Third Proportional to 1,969,591 and 4,284,273

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Solution

The third proportional to 1,969,591 and 4,284,273 is: 9,319,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969,591 : 4,284,273 = 4,284,273 : x
  2. Step 2: Convert to fraction form
    1,969,591/4,284,273 = 4,284,273/x
  3. Step 3: Cross multiply
    1,969,591x = 4,284,273 × 4,284,273
  4. Step 4: Simplify right side
    1,969,591x = 18,354,995,138,529
  5. Step 5: Solve for x
    x = 18,354,995,138,529/1,969,591
  6. Step 6: Final answer
    x = 9,319,191.21

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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.