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Finding the Third Proportional to 1,561,761 and 2,362,311

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Solution

The third proportional to 1,561,761 and 2,362,311 is: 3,573,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561,761 : 2,362,311 = 2,362,311 : x
  2. Step 2: Convert to fraction form
    1,561,761/2,362,311 = 2,362,311/x
  3. Step 3: Cross multiply
    1,561,761x = 2,362,311 × 2,362,311
  4. Step 4: Simplify right side
    1,561,761x = 5,580,513,260,721
  5. Step 5: Solve for x
    x = 5,580,513,260,721/1,561,761
  6. Step 6: Final answer
    x = 3,573,218.48

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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.