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Finding the Third Proportional to 3,047,976 and 4,179,607.50

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Solution

The third proportional to 3,047,976 and 4,179,607.50 is: 5,731,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047,976 : 4,179,607.50 = 4,179,607.50 : x
  2. Step 2: Convert to fraction form
    3,047,976/4,179,607.50 = 4,179,607.50/x
  3. Step 3: Cross multiply
    3,047,976x = 4,179,607.50 × 4,179,607.50
  4. Step 4: Simplify right side
    3,047,976x = 17,469,118,854,056.25
  5. Step 5: Solve for x
    x = 17,469,118,854,056.25/3,047,976
  6. Step 6: Final answer
    x = 5,731,383.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.