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Finding the Third Proportional to 2,026,333.50 and 3,081,298.50

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Solution

The third proportional to 2,026,333.50 and 3,081,298.50 is: 4,685,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026,333.50 : 3,081,298.50 = 3,081,298.50 : x
  2. Step 2: Convert to fraction form
    2,026,333.50/3,081,298.50 = 3,081,298.50/x
  3. Step 3: Cross multiply
    2,026,333.50x = 3,081,298.50 × 3,081,298.50
  4. Step 4: Simplify right side
    2,026,333.50x = 9,494,400,446,102.25
  5. Step 5: Solve for x
    x = 9,494,400,446,102.25/2,026,333.50
  6. Step 6: Final answer
    x = 4,685,507.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.