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Finding the Third Proportional to 606,298.50 and 1,320,237.56

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Solution

The third proportional to 606,298.50 and 1,320,237.56 is: 2,874,866.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,298.50 : 1,320,237.56 = 1,320,237.56 : x
  2. Step 2: Convert to fraction form
    606,298.50/1,320,237.56 = 1,320,237.56/x
  3. Step 3: Cross multiply
    606,298.50x = 1,320,237.56 × 1,320,237.56
  4. Step 4: Simplify right side
    606,298.50x = 1,743,027,221,435.94
  5. Step 5: Solve for x
    x = 1,743,027,221,435.94/606,298.50
  6. Step 6: Final answer
    x = 2,874,866.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.