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Finding the Third Proportional to 2,292,720 and 4,858,536

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Solution

The third proportional to 2,292,720 and 4,858,536 is: 10,295,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292,720 : 4,858,536 = 4,858,536 : x
  2. Step 2: Convert to fraction form
    2,292,720/4,858,536 = 4,858,536/x
  3. Step 3: Cross multiply
    2,292,720x = 4,858,536 × 4,858,536
  4. Step 4: Simplify right side
    2,292,720x = 23,605,372,063,296
  5. Step 5: Solve for x
    x = 23,605,372,063,296/2,292,720
  6. Step 6: Final answer
    x = 10,295,793.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.