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Finding the Third Proportional to 1,365,105 and 2,970,917

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Solution

The third proportional to 1,365,105 and 2,970,917 is: 6,465,691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,105 : 2,970,917 = 2,970,917 : x
  2. Step 2: Convert to fraction form
    1,365,105/2,970,917 = 2,970,917/x
  3. Step 3: Cross multiply
    1,365,105x = 2,970,917 × 2,970,917
  4. Step 4: Simplify right side
    1,365,105x = 8,826,347,820,889
  5. Step 5: Solve for x
    x = 8,826,347,820,889/1,365,105
  6. Step 6: Final answer
    x = 6,465,691.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.