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Finding the Third Proportional to 826,434 and 1,276,103

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Solution

The third proportional to 826,434 and 1,276,103 is: 1,970,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,434 : 1,276,103 = 1,276,103 : x
  2. Step 2: Convert to fraction form
    826,434/1,276,103 = 1,276,103/x
  3. Step 3: Cross multiply
    826,434x = 1,276,103 × 1,276,103
  4. Step 4: Simplify right side
    826,434x = 1,628,438,866,609
  5. Step 5: Solve for x
    x = 1,628,438,866,609/826,434
  6. Step 6: Final answer
    x = 1,970,440.31

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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.