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Finding the Third Proportional to 2,109,096 and 4,976,712

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Solution

The third proportional to 2,109,096 and 4,976,712 is: 11,743,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109,096 : 4,976,712 = 4,976,712 : x
  2. Step 2: Convert to fraction form
    2,109,096/4,976,712 = 4,976,712/x
  3. Step 3: Cross multiply
    2,109,096x = 4,976,712 × 4,976,712
  4. Step 4: Simplify right side
    2,109,096x = 24,767,662,330,944
  5. Step 5: Solve for x
    x = 24,767,662,330,944/2,109,096
  6. Step 6: Final answer
    x = 11,743,259.83

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.