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Finding the Third Proportional to 655,041 and 1,432,278

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Solution

The third proportional to 655,041 and 1,432,278 is: 3,131,743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,041 : 1,432,278 = 1,432,278 : x
  2. Step 2: Convert to fraction form
    655,041/1,432,278 = 1,432,278/x
  3. Step 3: Cross multiply
    655,041x = 1,432,278 × 1,432,278
  4. Step 4: Simplify right side
    655,041x = 2,051,420,269,284
  5. Step 5: Solve for x
    x = 2,051,420,269,284/655,041
  6. Step 6: Final answer
    x = 3,131,743.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.