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Finding the Third Proportional to 946,638 and 2,082,528

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Solution

The third proportional to 946,638 and 2,082,528 is: 4,581,395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,638 : 2,082,528 = 2,082,528 : x
  2. Step 2: Convert to fraction form
    946,638/2,082,528 = 2,082,528/x
  3. Step 3: Cross multiply
    946,638x = 2,082,528 × 2,082,528
  4. Step 4: Simplify right side
    946,638x = 4,336,922,870,784
  5. Step 5: Solve for x
    x = 4,336,922,870,784/946,638
  6. Step 6: Final answer
    x = 4,581,395.29

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