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Finding the Third Proportional to 468,434 and 1,007,930

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Solution

The third proportional to 468,434 and 1,007,930 is: 2,168,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,434 : 1,007,930 = 1,007,930 : x
  2. Step 2: Convert to fraction form
    468,434/1,007,930 = 1,007,930/x
  3. Step 3: Cross multiply
    468,434x = 1,007,930 × 1,007,930
  4. Step 4: Simplify right side
    468,434x = 1,015,922,884,900
  5. Step 5: Solve for x
    x = 1,015,922,884,900/468,434
  6. Step 6: Final answer
    x = 2,168,764.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.