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Finding the Third Proportional to 1,970,496 and 4,235,676

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Solution

The third proportional to 1,970,496 and 4,235,676 is: 9,104,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,496 : 4,235,676 = 4,235,676 : x
  2. Step 2: Convert to fraction form
    1,970,496/4,235,676 = 4,235,676/x
  3. Step 3: Cross multiply
    1,970,496x = 4,235,676 × 4,235,676
  4. Step 4: Simplify right side
    1,970,496x = 17,940,951,176,976
  5. Step 5: Solve for x
    x = 17,940,951,176,976/1,970,496
  6. Step 6: Final answer
    x = 9,104,789.44

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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.