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Finding the Third Proportional to 2,675,928 and 3,814,581

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Solution

The third proportional to 2,675,928 and 3,814,581 is: 5,437,750.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675,928 : 3,814,581 = 3,814,581 : x
  2. Step 2: Convert to fraction form
    2,675,928/3,814,581 = 3,814,581/x
  3. Step 3: Cross multiply
    2,675,928x = 3,814,581 × 3,814,581
  4. Step 4: Simplify right side
    2,675,928x = 14,551,028,205,561
  5. Step 5: Solve for x
    x = 14,551,028,205,561/2,675,928
  6. Step 6: Final answer
    x = 5,437,750.27

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Why These Related Problems?

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