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Finding the Third Proportional to 569,216.63 and 1,233,018.38

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Solution

The third proportional to 569,216.63 and 1,233,018.38 is: 2,670,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,216.63 : 1,233,018.38 = 1,233,018.38 : x
  2. Step 2: Convert to fraction form
    569,216.63/1,233,018.38 = 1,233,018.38/x
  3. Step 3: Cross multiply
    569,216.63x = 1,233,018.38 × 1,233,018.38
  4. Step 4: Simplify right side
    569,216.63x = 1,520,334,313,087.64
  5. Step 5: Solve for x
    x = 1,520,334,313,087.64/569,216.63
  6. Step 6: Final answer
    x = 2,670,923.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.