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Finding the Third Proportional to 2,065,705 and 4,474,444

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Solution

The third proportional to 2,065,705 and 4,474,444 is: 9,691,920.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,705 : 4,474,444 = 4,474,444 : x
  2. Step 2: Convert to fraction form
    2,065,705/4,474,444 = 4,474,444/x
  3. Step 3: Cross multiply
    2,065,705x = 4,474,444 × 4,474,444
  4. Step 4: Simplify right side
    2,065,705x = 20,020,649,109,136
  5. Step 5: Solve for x
    x = 20,020,649,109,136/2,065,705
  6. Step 6: Final answer
    x = 9,691,920.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.