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Finding the Third Proportional to 768,933 and 1,183,518

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Solution

The third proportional to 768,933 and 1,183,518 is: 1,821,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,933 : 1,183,518 = 1,183,518 : x
  2. Step 2: Convert to fraction form
    768,933/1,183,518 = 1,183,518/x
  3. Step 3: Cross multiply
    768,933x = 1,183,518 × 1,183,518
  4. Step 4: Simplify right side
    768,933x = 1,400,714,856,324
  5. Step 5: Solve for x
    x = 1,400,714,856,324/768,933
  6. Step 6: Final answer
    x = 1,821,634.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.