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Finding the Third Proportional to 2,782,005 and 5,862,906

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Solution

The third proportional to 2,782,005 and 5,862,906 is: 12,355,717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,005 : 5,862,906 = 5,862,906 : x
  2. Step 2: Convert to fraction form
    2,782,005/5,862,906 = 5,862,906/x
  3. Step 3: Cross multiply
    2,782,005x = 5,862,906 × 5,862,906
  4. Step 4: Simplify right side
    2,782,005x = 34,373,666,764,836
  5. Step 5: Solve for x
    x = 34,373,666,764,836/2,782,005
  6. Step 6: Final answer
    x = 12,355,717.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.