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Finding the Third Proportional to 688,340 and 1,476,322

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Solution

The third proportional to 688,340 and 1,476,322 is: 3,166,351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,340 : 1,476,322 = 1,476,322 : x
  2. Step 2: Convert to fraction form
    688,340/1,476,322 = 1,476,322/x
  3. Step 3: Cross multiply
    688,340x = 1,476,322 × 1,476,322
  4. Step 4: Simplify right side
    688,340x = 2,179,526,647,684
  5. Step 5: Solve for x
    x = 2,179,526,647,684/688,340
  6. Step 6: Final answer
    x = 3,166,351.87

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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.