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Finding the Third Proportional to 2,375,688 and 5,200,350

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Solution

The third proportional to 2,375,688 and 5,200,350 is: 11,383,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375,688 : 5,200,350 = 5,200,350 : x
  2. Step 2: Convert to fraction form
    2,375,688/5,200,350 = 5,200,350/x
  3. Step 3: Cross multiply
    2,375,688x = 5,200,350 × 5,200,350
  4. Step 4: Simplify right side
    2,375,688x = 27,043,640,122,500
  5. Step 5: Solve for x
    x = 27,043,640,122,500/2,375,688
  6. Step 6: Final answer
    x = 11,383,498.22

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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.