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Finding the Third Proportional to 797,843 and 1,707,763

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Solution

The third proportional to 797,843 and 1,707,763 is: 3,655,424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,843 : 1,707,763 = 1,707,763 : x
  2. Step 2: Convert to fraction form
    797,843/1,707,763 = 1,707,763/x
  3. Step 3: Cross multiply
    797,843x = 1,707,763 × 1,707,763
  4. Step 4: Simplify right side
    797,843x = 2,916,454,464,169
  5. Step 5: Solve for x
    x = 2,916,454,464,169/797,843
  6. Step 6: Final answer
    x = 3,655,424.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.