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Finding the Third Proportional to 1,597,570 and 3,419,780

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Solution

The third proportional to 1,597,570 and 3,419,780 is: 7,320,427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,570 : 3,419,780 = 3,419,780 : x
  2. Step 2: Convert to fraction form
    1,597,570/3,419,780 = 3,419,780/x
  3. Step 3: Cross multiply
    1,597,570x = 3,419,780 × 3,419,780
  4. Step 4: Simplify right side
    1,597,570x = 11,694,895,248,400
  5. Step 5: Solve for x
    x = 11,694,895,248,400/1,597,570
  6. Step 6: Final answer
    x = 7,320,427.43

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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.