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Finding the Third Proportional to 2,096,809 and 4,586,186

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Solution

The third proportional to 2,096,809 and 4,586,186 is: 10,031,005.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,809 : 4,586,186 = 4,586,186 : x
  2. Step 2: Convert to fraction form
    2,096,809/4,586,186 = 4,586,186/x
  3. Step 3: Cross multiply
    2,096,809x = 4,586,186 × 4,586,186
  4. Step 4: Simplify right side
    2,096,809x = 21,033,102,026,596
  5. Step 5: Solve for x
    x = 21,033,102,026,596/2,096,809
  6. Step 6: Final answer
    x = 10,031,005.22

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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.