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Finding the Third Proportional to 449,709 and 957,680

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Solution

The third proportional to 449,709 and 957,680 is: 2,039,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,709 : 957,680 = 957,680 : x
  2. Step 2: Convert to fraction form
    449,709/957,680 = 957,680/x
  3. Step 3: Cross multiply
    449,709x = 957,680 × 957,680
  4. Step 4: Simplify right side
    449,709x = 917,150,982,400
  5. Step 5: Solve for x
    x = 917,150,982,400/449,709
  6. Step 6: Final answer
    x = 2,039,432.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.