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Finding the Third Proportional to 1,567,900 and 3,324,200.50

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Solution

The third proportional to 1,567,900 and 3,324,200.50 is: 7,047,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567,900 : 3,324,200.50 = 3,324,200.50 : x
  2. Step 2: Convert to fraction form
    1,567,900/3,324,200.50 = 3,324,200.50/x
  3. Step 3: Cross multiply
    1,567,900x = 3,324,200.50 × 3,324,200.50
  4. Step 4: Simplify right side
    1,567,900x = 11,050,308,964,200.25
  5. Step 5: Solve for x
    x = 11,050,308,964,200.25/1,567,900
  6. Step 6: Final answer
    x = 7,047,840.40

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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.