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Finding the Third Proportional to 820,596 and 1,706,424

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Solution

The third proportional to 820,596 and 1,706,424 is: 3,548,497.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,596 : 1,706,424 = 1,706,424 : x
  2. Step 2: Convert to fraction form
    820,596/1,706,424 = 1,706,424/x
  3. Step 3: Cross multiply
    820,596x = 1,706,424 × 1,706,424
  4. Step 4: Simplify right side
    820,596x = 2,911,882,867,776
  5. Step 5: Solve for x
    x = 2,911,882,867,776/820,596
  6. Step 6: Final answer
    x = 3,548,497.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.