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Finding the Third Proportional to 875,823 and 1,882,593

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Solution

The third proportional to 875,823 and 1,882,593 is: 4,046,658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,823 : 1,882,593 = 1,882,593 : x
  2. Step 2: Convert to fraction form
    875,823/1,882,593 = 1,882,593/x
  3. Step 3: Cross multiply
    875,823x = 1,882,593 × 1,882,593
  4. Step 4: Simplify right side
    875,823x = 3,544,156,403,649
  5. Step 5: Solve for x
    x = 3,544,156,403,649/875,823
  6. Step 6: Final answer
    x = 4,046,658.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.