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Finding the Third Proportional to 1,597,184 and 2,412,412

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Solution

The third proportional to 1,597,184 and 2,412,412 is: 3,643,745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,184 : 2,412,412 = 2,412,412 : x
  2. Step 2: Convert to fraction form
    1,597,184/2,412,412 = 2,412,412/x
  3. Step 3: Cross multiply
    1,597,184x = 2,412,412 × 2,412,412
  4. Step 4: Simplify right side
    1,597,184x = 5,819,731,657,744
  5. Step 5: Solve for x
    x = 5,819,731,657,744/1,597,184
  6. Step 6: Final answer
    x = 3,643,745.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.