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Finding the Third Proportional to 688,338 and 1,476,324

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Solution

The third proportional to 688,338 and 1,476,324 is: 3,166,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,338 : 1,476,324 = 1,476,324 : x
  2. Step 2: Convert to fraction form
    688,338/1,476,324 = 1,476,324/x
  3. Step 3: Cross multiply
    688,338x = 1,476,324 × 1,476,324
  4. Step 4: Simplify right side
    688,338x = 2,179,532,552,976
  5. Step 5: Solve for x
    x = 2,179,532,552,976/688,338
  6. Step 6: Final answer
    x = 3,166,369.65

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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.