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Finding the Third Proportional to 715,414 and 1,555,075

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Solution

The third proportional to 715,414 and 1,555,075 is: 3,380,222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,414 : 1,555,075 = 1,555,075 : x
  2. Step 2: Convert to fraction form
    715,414/1,555,075 = 1,555,075/x
  3. Step 3: Cross multiply
    715,414x = 1,555,075 × 1,555,075
  4. Step 4: Simplify right side
    715,414x = 2,418,258,255,625
  5. Step 5: Solve for x
    x = 2,418,258,255,625/715,414
  6. Step 6: Final answer
    x = 3,380,222.16

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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.