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Finding the Third Proportional to 1,071,123 and 2,231,022

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Solution

The third proportional to 1,071,123 and 2,231,022 is: 4,646,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,123 : 2,231,022 = 2,231,022 : x
  2. Step 2: Convert to fraction form
    1,071,123/2,231,022 = 2,231,022/x
  3. Step 3: Cross multiply
    1,071,123x = 2,231,022 × 2,231,022
  4. Step 4: Simplify right side
    1,071,123x = 4,977,459,164,484
  5. Step 5: Solve for x
    x = 4,977,459,164,484/1,071,123
  6. Step 6: Final answer
    x = 4,646,953.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.