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Finding the Third Proportional to 2,026,107 and 3,208,288.50

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Solution

The third proportional to 2,026,107 and 3,208,288.50 is: 5,080,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026,107 : 3,208,288.50 = 3,208,288.50 : x
  2. Step 2: Convert to fraction form
    2,026,107/3,208,288.50 = 3,208,288.50/x
  3. Step 3: Cross multiply
    2,026,107x = 3,208,288.50 × 3,208,288.50
  4. Step 4: Simplify right side
    2,026,107x = 10,293,115,099,232.25
  5. Step 5: Solve for x
    x = 10,293,115,099,232.25/2,026,107
  6. Step 6: Final answer
    x = 5,080,242.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.