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Finding the Third Proportional to 974,794 and 2,256,469

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Solution

The third proportional to 974,794 and 2,256,469 is: 5,223,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,794 : 2,256,469 = 2,256,469 : x
  2. Step 2: Convert to fraction form
    974,794/2,256,469 = 2,256,469/x
  3. Step 3: Cross multiply
    974,794x = 2,256,469 × 2,256,469
  4. Step 4: Simplify right side
    974,794x = 5,091,652,347,961
  5. Step 5: Solve for x
    x = 5,091,652,347,961/974,794
  6. Step 6: Final answer
    x = 5,223,311.13

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.