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Finding the Third Proportional to 2,304,827 and 3,319,945

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Solution

The third proportional to 2,304,827 and 3,319,945 is: 4,782,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304,827 : 3,319,945 = 3,319,945 : x
  2. Step 2: Convert to fraction form
    2,304,827/3,319,945 = 3,319,945/x
  3. Step 3: Cross multiply
    2,304,827x = 3,319,945 × 3,319,945
  4. Step 4: Simplify right side
    2,304,827x = 11,022,034,803,025
  5. Step 5: Solve for x
    x = 11,022,034,803,025/2,304,827
  6. Step 6: Final answer
    x = 4,782,152.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.