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Finding the Third Proportional to 3,217,729 and 4,728,097

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Solution

The third proportional to 3,217,729 and 4,728,097 is: 6,947,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217,729 : 4,728,097 = 4,728,097 : x
  2. Step 2: Convert to fraction form
    3,217,729/4,728,097 = 4,728,097/x
  3. Step 3: Cross multiply
    3,217,729x = 4,728,097 × 4,728,097
  4. Step 4: Simplify right side
    3,217,729x = 22,354,901,241,409
  5. Step 5: Solve for x
    x = 22,354,901,241,409/3,217,729
  6. Step 6: Final answer
    x = 6,947,415.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.