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Finding the Third Proportional to 856,296.56 and 1,863,335.23

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Solution

The third proportional to 856,296.56 and 1,863,335.23 is: 4,054,691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,296.56 : 1,863,335.23 = 1,863,335.23 : x
  2. Step 2: Convert to fraction form
    856,296.56/1,863,335.23 = 1,863,335.23/x
  3. Step 3: Cross multiply
    856,296.56x = 1,863,335.23 × 1,863,335.23
  4. Step 4: Simplify right side
    856,296.56x = 3,472,018,188,384.78
  5. Step 5: Solve for x
    x = 3,472,018,188,384.78/856,296.56
  6. Step 6: Final answer
    x = 4,054,691.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.