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Finding the Third Proportional to 919,431 and 1,949,436

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Solution

The third proportional to 919,431 and 1,949,436 is: 4,133,318.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,431 : 1,949,436 = 1,949,436 : x
  2. Step 2: Convert to fraction form
    919,431/1,949,436 = 1,949,436/x
  3. Step 3: Cross multiply
    919,431x = 1,949,436 × 1,949,436
  4. Step 4: Simplify right side
    919,431x = 3,800,300,718,096
  5. Step 5: Solve for x
    x = 3,800,300,718,096/919,431
  6. Step 6: Final answer
    x = 4,133,318.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.