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Finding the Third Proportional to 2,005,713 and 3,106,991

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Solution

The third proportional to 2,005,713 and 3,106,991 is: 4,812,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,713 : 3,106,991 = 3,106,991 : x
  2. Step 2: Convert to fraction form
    2,005,713/3,106,991 = 3,106,991/x
  3. Step 3: Cross multiply
    2,005,713x = 3,106,991 × 3,106,991
  4. Step 4: Simplify right side
    2,005,713x = 9,653,393,074,081
  5. Step 5: Solve for x
    x = 9,653,393,074,081/2,005,713
  6. Step 6: Final answer
    x = 4,812,948.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.