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Finding the Third Proportional to 2,855,120 and 6,180,688

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Solution

The third proportional to 2,855,120 and 6,180,688 is: 13,379,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855,120 : 6,180,688 = 6,180,688 : x
  2. Step 2: Convert to fraction form
    2,855,120/6,180,688 = 6,180,688/x
  3. Step 3: Cross multiply
    2,855,120x = 6,180,688 × 6,180,688
  4. Step 4: Simplify right side
    2,855,120x = 38,200,904,153,344
  5. Step 5: Solve for x
    x = 38,200,904,153,344/2,855,120
  6. Step 6: Final answer
    x = 13,379,789.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.