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Finding the Third Proportional to 1,145,466 and 2,587,977

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Solution

The third proportional to 1,145,466 and 2,587,977 is: 5,847,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145,466 : 2,587,977 = 2,587,977 : x
  2. Step 2: Convert to fraction form
    1,145,466/2,587,977 = 2,587,977/x
  3. Step 3: Cross multiply
    1,145,466x = 2,587,977 × 2,587,977
  4. Step 4: Simplify right side
    1,145,466x = 6,697,624,952,529
  5. Step 5: Solve for x
    x = 6,697,624,952,529/1,145,466
  6. Step 6: Final answer
    x = 5,847,074.42

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.