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Finding the Third Proportional to 1,394,384 and 2,956,196

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Solution

The third proportional to 1,394,384 and 2,956,196 is: 6,267,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394,384 : 2,956,196 = 2,956,196 : x
  2. Step 2: Convert to fraction form
    1,394,384/2,956,196 = 2,956,196/x
  3. Step 3: Cross multiply
    1,394,384x = 2,956,196 × 2,956,196
  4. Step 4: Simplify right side
    1,394,384x = 8,739,094,790,416
  5. Step 5: Solve for x
    x = 8,739,094,790,416/1,394,384
  6. Step 6: Final answer
    x = 6,267,351.60

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.