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Finding the Third Proportional to 797,081 and 1,724,410

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Solution

The third proportional to 797,081 and 1,724,410 is: 3,730,599.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,081 : 1,724,410 = 1,724,410 : x
  2. Step 2: Convert to fraction form
    797,081/1,724,410 = 1,724,410/x
  3. Step 3: Cross multiply
    797,081x = 1,724,410 × 1,724,410
  4. Step 4: Simplify right side
    797,081x = 2,973,589,848,100
  5. Step 5: Solve for x
    x = 2,973,589,848,100/797,081
  6. Step 6: Final answer
    x = 3,730,599.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.