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Finding the Third Proportional to 576,415 and 1,259,857

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Solution

The third proportional to 576,415 and 1,259,857 is: 2,753,640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,415 : 1,259,857 = 1,259,857 : x
  2. Step 2: Convert to fraction form
    576,415/1,259,857 = 1,259,857/x
  3. Step 3: Cross multiply
    576,415x = 1,259,857 × 1,259,857
  4. Step 4: Simplify right side
    576,415x = 1,587,239,660,449
  5. Step 5: Solve for x
    x = 1,587,239,660,449/576,415
  6. Step 6: Final answer
    x = 2,753,640.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.