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Finding the Third Proportional to 1,764,987 and 3,853,653

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Solution

The third proportional to 1,764,987 and 3,853,653 is: 8,414,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764,987 : 3,853,653 = 3,853,653 : x
  2. Step 2: Convert to fraction form
    1,764,987/3,853,653 = 3,853,653/x
  3. Step 3: Cross multiply
    1,764,987x = 3,853,653 × 3,853,653
  4. Step 4: Simplify right side
    1,764,987x = 14,850,641,444,409
  5. Step 5: Solve for x
    x = 14,850,641,444,409/1,764,987
  6. Step 6: Final answer
    x = 8,414,023.13

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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.