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Finding the Third Proportional to 575,877 and 1,256,568

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Solution

The third proportional to 575,877 and 1,256,568 is: 2,741,840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,877 : 1,256,568 = 1,256,568 : x
  2. Step 2: Convert to fraction form
    575,877/1,256,568 = 1,256,568/x
  3. Step 3: Cross multiply
    575,877x = 1,256,568 × 1,256,568
  4. Step 4: Simplify right side
    575,877x = 1,578,963,138,624
  5. Step 5: Solve for x
    x = 1,578,963,138,624/575,877
  6. Step 6: Final answer
    x = 2,741,840.95

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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.