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Finding the Third Proportional to 2,053,152 and 4,236,408

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Solution

The third proportional to 2,053,152 and 4,236,408 is: 8,741,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,152 : 4,236,408 = 4,236,408 : x
  2. Step 2: Convert to fraction form
    2,053,152/4,236,408 = 4,236,408/x
  3. Step 3: Cross multiply
    2,053,152x = 4,236,408 × 4,236,408
  4. Step 4: Simplify right side
    2,053,152x = 17,947,152,742,464
  5. Step 5: Solve for x
    x = 17,947,152,742,464/2,053,152
  6. Step 6: Final answer
    x = 8,741,268.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.