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Finding the Third Proportional to 2,653,580.25 and 3,976,209

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Solution

The third proportional to 2,653,580.25 and 3,976,209 is: 5,958,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653,580.25 : 3,976,209 = 3,976,209 : x
  2. Step 2: Convert to fraction form
    2,653,580.25/3,976,209 = 3,976,209/x
  3. Step 3: Cross multiply
    2,653,580.25x = 3,976,209 × 3,976,209
  4. Step 4: Simplify right side
    2,653,580.25x = 15,810,238,011,681
  5. Step 5: Solve for x
    x = 15,810,238,011,681/2,653,580.25
  6. Step 6: Final answer
    x = 5,958,077.96

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