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Finding the Third Proportional to 1,947,896 and 4,269,408

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Solution

The third proportional to 1,947,896 and 4,269,408 is: 9,357,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947,896 : 4,269,408 = 4,269,408 : x
  2. Step 2: Convert to fraction form
    1,947,896/4,269,408 = 4,269,408/x
  3. Step 3: Cross multiply
    1,947,896x = 4,269,408 × 4,269,408
  4. Step 4: Simplify right side
    1,947,896x = 18,227,844,670,464
  5. Step 5: Solve for x
    x = 18,227,844,670,464/1,947,896
  6. Step 6: Final answer
    x = 9,357,709.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.