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Finding the Third Proportional to 643,338 and 1,375,023

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Solution

The third proportional to 643,338 and 1,375,023 is: 2,938,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,338 : 1,375,023 = 1,375,023 : x
  2. Step 2: Convert to fraction form
    643,338/1,375,023 = 1,375,023/x
  3. Step 3: Cross multiply
    643,338x = 1,375,023 × 1,375,023
  4. Step 4: Simplify right side
    643,338x = 1,890,688,250,529
  5. Step 5: Solve for x
    x = 1,890,688,250,529/643,338
  6. Step 6: Final answer
    x = 2,938,872.34

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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.