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Finding the Third Proportional to 2,065,714 and 4,474,460

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Solution

The third proportional to 2,065,714 and 4,474,460 is: 9,691,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,714 : 4,474,460 = 4,474,460 : x
  2. Step 2: Convert to fraction form
    2,065,714/4,474,460 = 4,474,460/x
  3. Step 3: Cross multiply
    2,065,714x = 4,474,460 × 4,474,460
  4. Step 4: Simplify right side
    2,065,714x = 20,020,792,291,600
  5. Step 5: Solve for x
    x = 20,020,792,291,600/2,065,714
  6. Step 6: Final answer
    x = 9,691,947.82

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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.