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Finding the Third Proportional to 2,675,930 and 3,814,584

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Solution

The third proportional to 2,675,930 and 3,814,584 is: 5,437,754.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675,930 : 3,814,584 = 3,814,584 : x
  2. Step 2: Convert to fraction form
    2,675,930/3,814,584 = 3,814,584/x
  3. Step 3: Cross multiply
    2,675,930x = 3,814,584 × 3,814,584
  4. Step 4: Simplify right side
    2,675,930x = 14,551,051,093,056
  5. Step 5: Solve for x
    x = 14,551,051,093,056/2,675,930
  6. Step 6: Final answer
    x = 5,437,754.76

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.