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Finding the Third Proportional to 534,171 and 1,260,961.50

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Solution

The third proportional to 534,171 and 1,260,961.50 is: 2,976,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,171 : 1,260,961.50 = 1,260,961.50 : x
  2. Step 2: Convert to fraction form
    534,171/1,260,961.50 = 1,260,961.50/x
  3. Step 3: Cross multiply
    534,171x = 1,260,961.50 × 1,260,961.50
  4. Step 4: Simplify right side
    534,171x = 1,590,023,904,482.25
  5. Step 5: Solve for x
    x = 1,590,023,904,482.25/534,171
  6. Step 6: Final answer
    x = 2,976,619.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.