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Finding the Third Proportional to 852,689 and 1,823,517

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Solution

The third proportional to 852,689 and 1,823,517 is: 3,899,680.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,689 : 1,823,517 = 1,823,517 : x
  2. Step 2: Convert to fraction form
    852,689/1,823,517 = 1,823,517/x
  3. Step 3: Cross multiply
    852,689x = 1,823,517 × 1,823,517
  4. Step 4: Simplify right side
    852,689x = 3,325,214,249,289
  5. Step 5: Solve for x
    x = 3,325,214,249,289/852,689
  6. Step 6: Final answer
    x = 3,899,680.01

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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.