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Finding the Third Proportional to 687,468 and 1,476,516

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Solution

The third proportional to 687,468 and 1,476,516 is: 3,171,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,468 : 1,476,516 = 1,476,516 : x
  2. Step 2: Convert to fraction form
    687,468/1,476,516 = 1,476,516/x
  3. Step 3: Cross multiply
    687,468x = 1,476,516 × 1,476,516
  4. Step 4: Simplify right side
    687,468x = 2,180,099,498,256
  5. Step 5: Solve for x
    x = 2,180,099,498,256/687,468
  6. Step 6: Final answer
    x = 3,171,201.42

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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.