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Finding the Third Proportional to 905,287 and 1,978,730

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Solution

The third proportional to 905,287 and 1,978,730 is: 4,325,006.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,287 : 1,978,730 = 1,978,730 : x
  2. Step 2: Convert to fraction form
    905,287/1,978,730 = 1,978,730/x
  3. Step 3: Cross multiply
    905,287x = 1,978,730 × 1,978,730
  4. Step 4: Simplify right side
    905,287x = 3,915,372,412,900
  5. Step 5: Solve for x
    x = 3,915,372,412,900/905,287
  6. Step 6: Final answer
    x = 4,325,006.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.