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Finding the Third Proportional to 2,102,220 and 3,246,494

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Solution

The third proportional to 2,102,220 and 3,246,494 is: 5,013,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,220 : 3,246,494 = 3,246,494 : x
  2. Step 2: Convert to fraction form
    2,102,220/3,246,494 = 3,246,494/x
  3. Step 3: Cross multiply
    2,102,220x = 3,246,494 × 3,246,494
  4. Step 4: Simplify right side
    2,102,220x = 10,539,723,292,036
  5. Step 5: Solve for x
    x = 10,539,723,292,036/2,102,220
  6. Step 6: Final answer
    x = 5,013,615.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.