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Finding the Third Proportional to 649,879 and 1,010,259

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Solution

The third proportional to 649,879 and 1,010,259 is: 1,570,481.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,879 : 1,010,259 = 1,010,259 : x
  2. Step 2: Convert to fraction form
    649,879/1,010,259 = 1,010,259/x
  3. Step 3: Cross multiply
    649,879x = 1,010,259 × 1,010,259
  4. Step 4: Simplify right side
    649,879x = 1,020,623,247,081
  5. Step 5: Solve for x
    x = 1,020,623,247,081/649,879
  6. Step 6: Final answer
    x = 1,570,481.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.