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Finding the Third Proportional to 1,429,040 and 2,211,744

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Solution

The third proportional to 1,429,040 and 2,211,744 is: 3,423,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,040 : 2,211,744 = 2,211,744 : x
  2. Step 2: Convert to fraction form
    1,429,040/2,211,744 = 2,211,744/x
  3. Step 3: Cross multiply
    1,429,040x = 2,211,744 × 2,211,744
  4. Step 4: Simplify right side
    1,429,040x = 4,891,811,521,536
  5. Step 5: Solve for x
    x = 4,891,811,521,536/1,429,040
  6. Step 6: Final answer
    x = 3,423,145.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.