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Finding the Third Proportional to 877,186 and 1,823,322

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Solution

The third proportional to 877,186 and 1,823,322 is: 3,789,963.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,186 : 1,823,322 = 1,823,322 : x
  2. Step 2: Convert to fraction form
    877,186/1,823,322 = 1,823,322/x
  3. Step 3: Cross multiply
    877,186x = 1,823,322 × 1,823,322
  4. Step 4: Simplify right side
    877,186x = 3,324,503,115,684
  5. Step 5: Solve for x
    x = 3,324,503,115,684/877,186
  6. Step 6: Final answer
    x = 3,789,963.72

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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.