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Finding the Third Proportional to 797,764 and 1,720,754

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Solution

The third proportional to 797,764 and 1,720,754 is: 3,711,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,764 : 1,720,754 = 1,720,754 : x
  2. Step 2: Convert to fraction form
    797,764/1,720,754 = 1,720,754/x
  3. Step 3: Cross multiply
    797,764x = 1,720,754 × 1,720,754
  4. Step 4: Simplify right side
    797,764x = 2,960,994,328,516
  5. Step 5: Solve for x
    x = 2,960,994,328,516/797,764
  6. Step 6: Final answer
    x = 3,711,616.88

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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.