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Finding the Third Proportional to 1,573,022 and 2,405,379

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Solution

The third proportional to 1,573,022 and 2,405,379 is: 3,678,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573,022 : 2,405,379 = 2,405,379 : x
  2. Step 2: Convert to fraction form
    1,573,022/2,405,379 = 2,405,379/x
  3. Step 3: Cross multiply
    1,573,022x = 2,405,379 × 2,405,379
  4. Step 4: Simplify right side
    1,573,022x = 5,785,848,133,641
  5. Step 5: Solve for x
    x = 5,785,848,133,641/1,573,022
  6. Step 6: Final answer
    x = 3,678,173.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.