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Finding the Third Proportional to 1,569,342 and 2,221,227.75

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Solution

The third proportional to 1,569,342 and 2,221,227.75 is: 3,143,898.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,342 : 2,221,227.75 = 2,221,227.75 : x
  2. Step 2: Convert to fraction form
    1,569,342/2,221,227.75 = 2,221,227.75/x
  3. Step 3: Cross multiply
    1,569,342x = 2,221,227.75 × 2,221,227.75
  4. Step 4: Simplify right side
    1,569,342x = 4,933,852,717,370.06
  5. Step 5: Solve for x
    x = 4,933,852,717,370.06/1,569,342
  6. Step 6: Final answer
    x = 3,143,898.98

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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.