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Finding the Third Proportional to 468,406 and 1,007,856

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Solution

The third proportional to 468,406 and 1,007,856 is: 2,168,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,406 : 1,007,856 = 1,007,856 : x
  2. Step 2: Convert to fraction form
    468,406/1,007,856 = 1,007,856/x
  3. Step 3: Cross multiply
    468,406x = 1,007,856 × 1,007,856
  4. Step 4: Simplify right side
    468,406x = 1,015,773,716,736
  5. Step 5: Solve for x
    x = 1,015,773,716,736/468,406
  6. Step 6: Final answer
    x = 2,168,575.37

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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.