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Finding the Third Proportional to 946,641 and 2,082,534

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Solution

The third proportional to 946,641 and 2,082,534 is: 4,581,407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,641 : 2,082,534 = 2,082,534 : x
  2. Step 2: Convert to fraction form
    946,641/2,082,534 = 2,082,534/x
  3. Step 3: Cross multiply
    946,641x = 2,082,534 × 2,082,534
  4. Step 4: Simplify right side
    946,641x = 4,336,947,861,156
  5. Step 5: Solve for x
    x = 4,336,947,861,156/946,641
  6. Step 6: Final answer
    x = 4,581,407.17

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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.