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Finding the Third Proportional to 852,468 and 1,272,867

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Solution

The third proportional to 852,468 and 1,272,867 is: 1,900,587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,468 : 1,272,867 = 1,272,867 : x
  2. Step 2: Convert to fraction form
    852,468/1,272,867 = 1,272,867/x
  3. Step 3: Cross multiply
    852,468x = 1,272,867 × 1,272,867
  4. Step 4: Simplify right side
    852,468x = 1,620,190,399,689
  5. Step 5: Solve for x
    x = 1,620,190,399,689/852,468
  6. Step 6: Final answer
    x = 1,900,587.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.