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Finding the Third Proportional to 646,944 and 949,296

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Solution

The third proportional to 646,944 and 949,296 is: 1,392,953.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,944 : 949,296 = 949,296 : x
  2. Step 2: Convert to fraction form
    646,944/949,296 = 949,296/x
  3. Step 3: Cross multiply
    646,944x = 949,296 × 949,296
  4. Step 4: Simplify right side
    646,944x = 901,162,895,616
  5. Step 5: Solve for x
    x = 901,162,895,616/646,944
  6. Step 6: Final answer
    x = 1,392,953.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.