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Finding the Third Proportional to 2,091,872 and 3,232,416

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Solution

The third proportional to 2,091,872 and 3,232,416 is: 4,994,814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091,872 : 3,232,416 = 3,232,416 : x
  2. Step 2: Convert to fraction form
    2,091,872/3,232,416 = 3,232,416/x
  3. Step 3: Cross multiply
    2,091,872x = 3,232,416 × 3,232,416
  4. Step 4: Simplify right side
    2,091,872x = 10,448,513,197,056
  5. Step 5: Solve for x
    x = 10,448,513,197,056/2,091,872
  6. Step 6: Final answer
    x = 4,994,814.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.