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Finding the Third Proportional to 1,798,648.25 and 3,853,704.25

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Solution

The third proportional to 1,798,648.25 and 3,853,704.25 is: 8,256,776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798,648.25 : 3,853,704.25 = 3,853,704.25 : x
  2. Step 2: Convert to fraction form
    1,798,648.25/3,853,704.25 = 3,853,704.25/x
  3. Step 3: Cross multiply
    1,798,648.25x = 3,853,704.25 × 3,853,704.25
  4. Step 4: Simplify right side
    1,798,648.25x = 14,851,036,446,468.06
  5. Step 5: Solve for x
    x = 14,851,036,446,468.06/1,798,648.25
  6. Step 6: Final answer
    x = 8,256,776.41

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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.