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Finding the Third Proportional to 826,418 and 1,276,077

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Solution

The third proportional to 826,418 and 1,276,077 is: 1,970,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,418 : 1,276,077 = 1,276,077 : x
  2. Step 2: Convert to fraction form
    826,418/1,276,077 = 1,276,077/x
  3. Step 3: Cross multiply
    826,418x = 1,276,077 × 1,276,077
  4. Step 4: Simplify right side
    826,418x = 1,628,372,509,929
  5. Step 5: Solve for x
    x = 1,628,372,509,929/826,418
  6. Step 6: Final answer
    x = 1,970,398.16

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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.