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Finding the Third Proportional to 976,725 and 2,093,620.50

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Solution

The third proportional to 976,725 and 2,093,620.50 is: 4,487,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,725 : 2,093,620.50 = 2,093,620.50 : x
  2. Step 2: Convert to fraction form
    976,725/2,093,620.50 = 2,093,620.50/x
  3. Step 3: Cross multiply
    976,725x = 2,093,620.50 × 2,093,620.50
  4. Step 4: Simplify right side
    976,725x = 4,383,246,798,020.25
  5. Step 5: Solve for x
    x = 4,383,246,798,020.25/976,725
  6. Step 6: Final answer
    x = 4,487,697.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.