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Finding the Third Proportional to 3,102,720 and 4,801,536

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Solution

The third proportional to 3,102,720 and 4,801,536 is: 7,430,495.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102,720 : 4,801,536 = 4,801,536 : x
  2. Step 2: Convert to fraction form
    3,102,720/4,801,536 = 4,801,536/x
  3. Step 3: Cross multiply
    3,102,720x = 4,801,536 × 4,801,536
  4. Step 4: Simplify right side
    3,102,720x = 23,054,747,959,296
  5. Step 5: Solve for x
    x = 23,054,747,959,296/3,102,720
  6. Step 6: Final answer
    x = 7,430,495.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.