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Finding the Third Proportional to 468,407 and 1,007,857

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Solution

The third proportional to 468,407 and 1,007,857 is: 2,168,575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,407 : 1,007,857 = 1,007,857 : x
  2. Step 2: Convert to fraction form
    468,407/1,007,857 = 1,007,857/x
  3. Step 3: Cross multiply
    468,407x = 1,007,857 × 1,007,857
  4. Step 4: Simplify right side
    468,407x = 1,015,775,732,449
  5. Step 5: Solve for x
    x = 1,015,775,732,449/468,407
  6. Step 6: Final answer
    x = 2,168,575.05

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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.