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Finding the Third Proportional to 583,731 and 1,278,180

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Solution

The third proportional to 583,731 and 1,278,180 is: 2,798,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,731 : 1,278,180 = 1,278,180 : x
  2. Step 2: Convert to fraction form
    583,731/1,278,180 = 1,278,180/x
  3. Step 3: Cross multiply
    583,731x = 1,278,180 × 1,278,180
  4. Step 4: Simplify right side
    583,731x = 1,633,744,112,400
  5. Step 5: Solve for x
    x = 1,633,744,112,400/583,731
  6. Step 6: Final answer
    x = 2,798,796.21

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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.