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Finding the Third Proportional to 1,569,344 and 2,221,231

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Solution

The third proportional to 1,569,344 and 2,221,231 is: 3,143,904.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,344 : 2,221,231 = 2,221,231 : x
  2. Step 2: Convert to fraction form
    1,569,344/2,221,231 = 2,221,231/x
  3. Step 3: Cross multiply
    1,569,344x = 2,221,231 × 2,221,231
  4. Step 4: Simplify right side
    1,569,344x = 4,933,867,155,361
  5. Step 5: Solve for x
    x = 4,933,867,155,361/1,569,344
  6. Step 6: Final answer
    x = 3,143,904.18

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.