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Finding the Third Proportional to 1,853,408.25 and 4,006,590.75

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Solution

The third proportional to 1,853,408.25 and 4,006,590.75 is: 8,661,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853,408.25 : 4,006,590.75 = 4,006,590.75 : x
  2. Step 2: Convert to fraction form
    1,853,408.25/4,006,590.75 = 4,006,590.75/x
  3. Step 3: Cross multiply
    1,853,408.25x = 4,006,590.75 × 4,006,590.75
  4. Step 4: Simplify right side
    1,853,408.25x = 16,052,769,437,985.56
  5. Step 5: Solve for x
    x = 16,052,769,437,985.56/1,853,408.25
  6. Step 6: Final answer
    x = 8,661,216.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.