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Finding the Third Proportional to 856,291 and 1,863,324

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Solution

The third proportional to 856,291 and 1,863,324 is: 4,054,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,291 : 1,863,324 = 1,863,324 : x
  2. Step 2: Convert to fraction form
    856,291/1,863,324 = 1,863,324/x
  3. Step 3: Cross multiply
    856,291x = 1,863,324 × 1,863,324
  4. Step 4: Simplify right side
    856,291x = 3,471,976,328,976
  5. Step 5: Solve for x
    x = 3,471,976,328,976/856,291
  6. Step 6: Final answer
    x = 4,054,668.72

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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.