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Finding the Third Proportional to 1,056,326 and 1,561,193

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Solution

The third proportional to 1,056,326 and 1,561,193 is: 2,307,359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056,326 : 1,561,193 = 1,561,193 : x
  2. Step 2: Convert to fraction form
    1,056,326/1,561,193 = 1,561,193/x
  3. Step 3: Cross multiply
    1,056,326x = 1,561,193 × 1,561,193
  4. Step 4: Simplify right side
    1,056,326x = 2,437,323,583,249
  5. Step 5: Solve for x
    x = 2,437,323,583,249/1,056,326
  6. Step 6: Final answer
    x = 2,307,359.27

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.