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Finding the Third Proportional to 3,406,833 and 5,236,546.50

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Solution

The third proportional to 3,406,833 and 5,236,546.50 is: 8,048,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406,833 : 5,236,546.50 = 5,236,546.50 : x
  2. Step 2: Convert to fraction form
    3,406,833/5,236,546.50 = 5,236,546.50/x
  3. Step 3: Cross multiply
    3,406,833x = 5,236,546.50 × 5,236,546.50
  4. Step 4: Simplify right side
    3,406,833x = 27,421,419,246,662.25
  5. Step 5: Solve for x
    x = 27,421,419,246,662.25/3,406,833
  6. Step 6: Final answer
    x = 8,048,947.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.