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Finding the Third Proportional to 969,742 and 2,039,978

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Solution

The third proportional to 969,742 and 2,039,978 is: 4,291,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,742 : 2,039,978 = 2,039,978 : x
  2. Step 2: Convert to fraction form
    969,742/2,039,978 = 2,039,978/x
  3. Step 3: Cross multiply
    969,742x = 2,039,978 × 2,039,978
  4. Step 4: Simplify right side
    969,742x = 4,161,510,240,484
  5. Step 5: Solve for x
    x = 4,161,510,240,484/969,742
  6. Step 6: Final answer
    x = 4,291,358.16

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.