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Finding the Third Proportional to 578,975.34 and 1,270,102.78

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Solution

The third proportional to 578,975.34 and 1,270,102.78 is: 2,786,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,975.34 : 1,270,102.78 = 1,270,102.78 : x
  2. Step 2: Convert to fraction form
    578,975.34/1,270,102.78 = 1,270,102.78/x
  3. Step 3: Cross multiply
    578,975.34x = 1,270,102.78 × 1,270,102.78
  4. Step 4: Simplify right side
    578,975.34x = 1,613,161,074,938.99
  5. Step 5: Solve for x
    x = 1,613,161,074,938.99/578,975.34
  6. Step 6: Final answer
    x = 2,786,234.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.