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Finding the Third Proportional to 857,216 and 1,866,824

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Solution

The third proportional to 857,216 and 1,866,824 is: 4,065,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,216 : 1,866,824 = 1,866,824 : x
  2. Step 2: Convert to fraction form
    857,216/1,866,824 = 1,866,824/x
  3. Step 3: Cross multiply
    857,216x = 1,866,824 × 1,866,824
  4. Step 4: Simplify right side
    857,216x = 3,485,031,846,976
  5. Step 5: Solve for x
    x = 3,485,031,846,976/857,216
  6. Step 6: Final answer
    x = 4,065,523.56

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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.