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Finding the Third Proportional to 1,597,424 and 3,474,784

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Solution

The third proportional to 1,597,424 and 3,474,784 is: 7,558,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,424 : 3,474,784 = 3,474,784 : x
  2. Step 2: Convert to fraction form
    1,597,424/3,474,784 = 3,474,784/x
  3. Step 3: Cross multiply
    1,597,424x = 3,474,784 × 3,474,784
  4. Step 4: Simplify right side
    1,597,424x = 12,074,123,846,656
  5. Step 5: Solve for x
    x = 12,074,123,846,656/1,597,424
  6. Step 6: Final answer
    x = 7,558,496.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.