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Finding the Third Proportional to 1,081,219.01 and 2,378,267.58

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Solution

The third proportional to 1,081,219.01 and 2,378,267.58 is: 5,231,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,219.01 : 2,378,267.58 = 2,378,267.58 : x
  2. Step 2: Convert to fraction form
    1,081,219.01/2,378,267.58 = 2,378,267.58/x
  3. Step 3: Cross multiply
    1,081,219.01x = 2,378,267.58 × 2,378,267.58
  4. Step 4: Simplify right side
    1,081,219.01x = 5,656,156,673,160.55
  5. Step 5: Solve for x
    x = 5,656,156,673,160.55/1,081,219.01
  6. Step 6: Final answer
    x = 5,231,277.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.