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Finding the Third Proportional to 757,319 and 1,621,042

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Solution

The third proportional to 757,319 and 1,621,042 is: 3,469,841.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,319 : 1,621,042 = 1,621,042 : x
  2. Step 2: Convert to fraction form
    757,319/1,621,042 = 1,621,042/x
  3. Step 3: Cross multiply
    757,319x = 1,621,042 × 1,621,042
  4. Step 4: Simplify right side
    757,319x = 2,627,777,165,764
  5. Step 5: Solve for x
    x = 2,627,777,165,764/757,319
  6. Step 6: Final answer
    x = 3,469,841.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.