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Finding the Third Proportional to 826,514 and 1,276,620

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Solution

The third proportional to 826,514 and 1,276,620 is: 1,971,846.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,514 : 1,276,620 = 1,276,620 : x
  2. Step 2: Convert to fraction form
    826,514/1,276,620 = 1,276,620/x
  3. Step 3: Cross multiply
    826,514x = 1,276,620 × 1,276,620
  4. Step 4: Simplify right side
    826,514x = 1,629,758,624,400
  5. Step 5: Solve for x
    x = 1,629,758,624,400/826,514
  6. Step 6: Final answer
    x = 1,971,846.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.