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Finding the Third Proportional to 1,297,002 and 2,071,989

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Solution

The third proportional to 1,297,002 and 2,071,989 is: 3,310,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,002 : 2,071,989 = 2,071,989 : x
  2. Step 2: Convert to fraction form
    1,297,002/2,071,989 = 2,071,989/x
  3. Step 3: Cross multiply
    1,297,002x = 2,071,989 × 2,071,989
  4. Step 4: Simplify right side
    1,297,002x = 4,293,138,416,121
  5. Step 5: Solve for x
    x = 4,293,138,416,121/1,297,002
  6. Step 6: Final answer
    x = 3,310,047.65

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.