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Finding the Third Proportional to 3,466,592 and 7,729,798

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Solution

The third proportional to 3,466,592 and 7,729,798 is: 17,235,883.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466,592 : 7,729,798 = 7,729,798 : x
  2. Step 2: Convert to fraction form
    3,466,592/7,729,798 = 7,729,798/x
  3. Step 3: Cross multiply
    3,466,592x = 7,729,798 × 7,729,798
  4. Step 4: Simplify right side
    3,466,592x = 59,749,777,120,804
  5. Step 5: Solve for x
    x = 59,749,777,120,804/3,466,592
  6. Step 6: Final answer
    x = 17,235,883.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.