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Finding the Third Proportional to 3,196,800 and 6,689,120

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Solution

The third proportional to 3,196,800 and 6,689,120 is: 13,996,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196,800 : 6,689,120 = 6,689,120 : x
  2. Step 2: Convert to fraction form
    3,196,800/6,689,120 = 6,689,120/x
  3. Step 3: Cross multiply
    3,196,800x = 6,689,120 × 6,689,120
  4. Step 4: Simplify right side
    3,196,800x = 44,744,326,374,400
  5. Step 5: Solve for x
    x = 44,744,326,374,400/3,196,800
  6. Step 6: Final answer
    x = 13,996,598.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.