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Finding the Third Proportional to 416,556 and 862,650

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Solution

The third proportional to 416,556 and 862,650 is: 1,786,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,556 : 862,650 = 862,650 : x
  2. Step 2: Convert to fraction form
    416,556/862,650 = 862,650/x
  3. Step 3: Cross multiply
    416,556x = 862,650 × 862,650
  4. Step 4: Simplify right side
    416,556x = 744,165,022,500
  5. Step 5: Solve for x
    x = 744,165,022,500/416,556
  6. Step 6: Final answer
    x = 1,786,470.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.