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Finding the Third Proportional to 946,622 and 2,082,557

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Solution

The third proportional to 946,622 and 2,082,557 is: 4,581,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,622 : 2,082,557 = 2,082,557 : x
  2. Step 2: Convert to fraction form
    946,622/2,082,557 = 2,082,557/x
  3. Step 3: Cross multiply
    946,622x = 2,082,557 × 2,082,557
  4. Step 4: Simplify right side
    946,622x = 4,337,043,658,249
  5. Step 5: Solve for x
    x = 4,337,043,658,249/946,622
  6. Step 6: Final answer
    x = 4,581,600.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.