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Finding the Third Proportional to 1,910,240.25 and 2,857,796

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Solution

The third proportional to 1,910,240.25 and 2,857,796 is: 4,275,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910,240.25 : 2,857,796 = 2,857,796 : x
  2. Step 2: Convert to fraction form
    1,910,240.25/2,857,796 = 2,857,796/x
  3. Step 3: Cross multiply
    1,910,240.25x = 2,857,796 × 2,857,796
  4. Step 4: Simplify right side
    1,910,240.25x = 8,166,997,977,616
  5. Step 5: Solve for x
    x = 8,166,997,977,616/1,910,240.25
  6. Step 6: Final answer
    x = 4,275,377.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.