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Finding the Third Proportional to 378,578 and 833,971

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Solution

The third proportional to 378,578 and 833,971 is: 1,837,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,578 : 833,971 = 833,971 : x
  2. Step 2: Convert to fraction form
    378,578/833,971 = 833,971/x
  3. Step 3: Cross multiply
    378,578x = 833,971 × 833,971
  4. Step 4: Simplify right side
    378,578x = 695,507,628,841
  5. Step 5: Solve for x
    x = 695,507,628,841/378,578
  6. Step 6: Final answer
    x = 1,837,158.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.