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Finding the Third Proportional to 583,702 and 1,278,120

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Solution

The third proportional to 583,702 and 1,278,120 is: 2,798,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,702 : 1,278,120 = 1,278,120 : x
  2. Step 2: Convert to fraction form
    583,702/1,278,120 = 1,278,120/x
  3. Step 3: Cross multiply
    583,702x = 1,278,120 × 1,278,120
  4. Step 4: Simplify right side
    583,702x = 1,633,590,734,400
  5. Step 5: Solve for x
    x = 1,633,590,734,400/583,702
  6. Step 6: Final answer
    x = 2,798,672.50

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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.