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Finding the Third Proportional to 1,106,379 and 1,669,743

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Solution

The third proportional to 1,106,379 and 1,669,743 is: 2,519,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,379 : 1,669,743 = 1,669,743 : x
  2. Step 2: Convert to fraction form
    1,106,379/1,669,743 = 1,669,743/x
  3. Step 3: Cross multiply
    1,106,379x = 1,669,743 × 1,669,743
  4. Step 4: Simplify right side
    1,106,379x = 2,788,041,686,049
  5. Step 5: Solve for x
    x = 2,788,041,686,049/1,106,379
  6. Step 6: Final answer
    x = 2,519,969.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.