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Finding the Third Proportional to 583,736 and 1,278,190

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Solution

The third proportional to 583,736 and 1,278,190 is: 2,798,816.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,736 : 1,278,190 = 1,278,190 : x
  2. Step 2: Convert to fraction form
    583,736/1,278,190 = 1,278,190/x
  3. Step 3: Cross multiply
    583,736x = 1,278,190 × 1,278,190
  4. Step 4: Simplify right side
    583,736x = 1,633,769,676,100
  5. Step 5: Solve for x
    x = 1,633,769,676,100/583,736
  6. Step 6: Final answer
    x = 2,798,816.03

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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.