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Finding the Third Proportional to 569,656 and 1,237,112

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Solution

The third proportional to 569,656 and 1,237,112 is: 2,686,614.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,656 : 1,237,112 = 1,237,112 : x
  2. Step 2: Convert to fraction form
    569,656/1,237,112 = 1,237,112/x
  3. Step 3: Cross multiply
    569,656x = 1,237,112 × 1,237,112
  4. Step 4: Simplify right side
    569,656x = 1,530,446,100,544
  5. Step 5: Solve for x
    x = 1,530,446,100,544/569,656
  6. Step 6: Final answer
    x = 2,686,614.55

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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.