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Finding the Third Proportional to 583,734 and 1,278,186

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Solution

The third proportional to 583,734 and 1,278,186 is: 2,798,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,734 : 1,278,186 = 1,278,186 : x
  2. Step 2: Convert to fraction form
    583,734/1,278,186 = 1,278,186/x
  3. Step 3: Cross multiply
    583,734x = 1,278,186 × 1,278,186
  4. Step 4: Simplify right side
    583,734x = 1,633,759,450,596
  5. Step 5: Solve for x
    x = 1,633,759,450,596/583,734
  6. Step 6: Final answer
    x = 2,798,808.11

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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.