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Finding the Third Proportional to 569,841 and 1,218,738

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Solution

The third proportional to 569,841 and 1,218,738 is: 2,606,555.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,841 : 1,218,738 = 1,218,738 : x
  2. Step 2: Convert to fraction form
    569,841/1,218,738 = 1,218,738/x
  3. Step 3: Cross multiply
    569,841x = 1,218,738 × 1,218,738
  4. Step 4: Simplify right side
    569,841x = 1,485,322,312,644
  5. Step 5: Solve for x
    x = 1,485,322,312,644/569,841
  6. Step 6: Final answer
    x = 2,606,555.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.