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Finding the Third Proportional to 851,646 and 1,335,981

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Solution

The third proportional to 851,646 and 1,335,981 is: 2,095,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,646 : 1,335,981 = 1,335,981 : x
  2. Step 2: Convert to fraction form
    851,646/1,335,981 = 1,335,981/x
  3. Step 3: Cross multiply
    851,646x = 1,335,981 × 1,335,981
  4. Step 4: Simplify right side
    851,646x = 1,784,845,232,361
  5. Step 5: Solve for x
    x = 1,784,845,232,361/851,646
  6. Step 6: Final answer
    x = 2,095,759.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.