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Finding the Third Proportional to 425,978 and 908,786

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Solution

The third proportional to 425,978 and 908,786 is: 1,938,813.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,978 : 908,786 = 908,786 : x
  2. Step 2: Convert to fraction form
    425,978/908,786 = 908,786/x
  3. Step 3: Cross multiply
    425,978x = 908,786 × 908,786
  4. Step 4: Simplify right side
    425,978x = 825,891,993,796
  5. Step 5: Solve for x
    x = 825,891,993,796/425,978
  6. Step 6: Final answer
    x = 1,938,813.73

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.