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Finding the Third Proportional to 1,828,053 and 3,961,197

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Solution

The third proportional to 1,828,053 and 3,961,197 is: 8,583,493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,053 : 3,961,197 = 3,961,197 : x
  2. Step 2: Convert to fraction form
    1,828,053/3,961,197 = 3,961,197/x
  3. Step 3: Cross multiply
    1,828,053x = 3,961,197 × 3,961,197
  4. Step 4: Simplify right side
    1,828,053x = 15,691,081,672,809
  5. Step 5: Solve for x
    x = 15,691,081,672,809/1,828,053
  6. Step 6: Final answer
    x = 8,583,493.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.