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Finding the Third Proportional to 676,593 and 1,471,223.25

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Solution

The third proportional to 676,593 and 1,471,223.25 is: 3,199,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,593 : 1,471,223.25 = 1,471,223.25 : x
  2. Step 2: Convert to fraction form
    676,593/1,471,223.25 = 1,471,223.25/x
  3. Step 3: Cross multiply
    676,593x = 1,471,223.25 × 1,471,223.25
  4. Step 4: Simplify right side
    676,593x = 2,164,497,851,340.56
  5. Step 5: Solve for x
    x = 2,164,497,851,340.56/676,593
  6. Step 6: Final answer
    x = 3,199,113.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.