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Finding the Third Proportional to 519,725 and 1,138,756

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Solution

The third proportional to 519,725 and 1,138,756 is: 2,495,098.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,725 : 1,138,756 = 1,138,756 : x
  2. Step 2: Convert to fraction form
    519,725/1,138,756 = 1,138,756/x
  3. Step 3: Cross multiply
    519,725x = 1,138,756 × 1,138,756
  4. Step 4: Simplify right side
    519,725x = 1,296,765,227,536
  5. Step 5: Solve for x
    x = 1,296,765,227,536/519,725
  6. Step 6: Final answer
    x = 2,495,098.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.