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Finding the Third Proportional to 826,206 and 1,310,589

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Solution

The third proportional to 826,206 and 1,310,589 is: 2,078,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,206 : 1,310,589 = 1,310,589 : x
  2. Step 2: Convert to fraction form
    826,206/1,310,589 = 1,310,589/x
  3. Step 3: Cross multiply
    826,206x = 1,310,589 × 1,310,589
  4. Step 4: Simplify right side
    826,206x = 1,717,643,526,921
  5. Step 5: Solve for x
    x = 1,717,643,526,921/826,206
  6. Step 6: Final answer
    x = 2,078,953.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.