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Finding the Third Proportional to 1,185,628.50 and 2,601,697

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Solution

The third proportional to 1,185,628.50 and 2,601,697 is: 5,709,062.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185,628.50 : 2,601,697 = 2,601,697 : x
  2. Step 2: Convert to fraction form
    1,185,628.50/2,601,697 = 2,601,697/x
  3. Step 3: Cross multiply
    1,185,628.50x = 2,601,697 × 2,601,697
  4. Step 4: Simplify right side
    1,185,628.50x = 6,768,827,279,809
  5. Step 5: Solve for x
    x = 6,768,827,279,809/1,185,628.50
  6. Step 6: Final answer
    x = 5,709,062.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.