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Finding the Third Proportional to 459,933 and 1,005,366

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Solution

The third proportional to 459,933 and 1,005,366 is: 2,197,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,933 : 1,005,366 = 1,005,366 : x
  2. Step 2: Convert to fraction form
    459,933/1,005,366 = 1,005,366/x
  3. Step 3: Cross multiply
    459,933x = 1,005,366 × 1,005,366
  4. Step 4: Simplify right side
    459,933x = 1,010,760,793,956
  5. Step 5: Solve for x
    x = 1,010,760,793,956/459,933
  6. Step 6: Final answer
    x = 2,197,626.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.