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Finding the Third Proportional to 569,215.28 and 1,233,015.70

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Solution

The third proportional to 569,215.28 and 1,233,015.70 is: 2,670,918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,215.28 : 1,233,015.70 = 1,233,015.70 : x
  2. Step 2: Convert to fraction form
    569,215.28/1,233,015.70 = 1,233,015.70/x
  3. Step 3: Cross multiply
    569,215.28x = 1,233,015.70 × 1,233,015.70
  4. Step 4: Simplify right side
    569,215.28x = 1,520,327,709,703.37
  5. Step 5: Solve for x
    x = 1,520,327,709,703.37/569,215.28
  6. Step 6: Final answer
    x = 2,670,918.66

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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.