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Finding the Third Proportional to 2,045,943 and 3,409,761

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Solution

The third proportional to 2,045,943 and 3,409,761 is: 5,682,695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045,943 : 3,409,761 = 3,409,761 : x
  2. Step 2: Convert to fraction form
    2,045,943/3,409,761 = 3,409,761/x
  3. Step 3: Cross multiply
    2,045,943x = 3,409,761 × 3,409,761
  4. Step 4: Simplify right side
    2,045,943x = 11,626,470,077,121
  5. Step 5: Solve for x
    x = 11,626,470,077,121/2,045,943
  6. Step 6: Final answer
    x = 5,682,695.01

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.