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Finding the Third Proportional to 976,549.50 and 1,492,965

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Solution

The third proportional to 976,549.50 and 1,492,965 is: 2,282,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,549.50 : 1,492,965 = 1,492,965 : x
  2. Step 2: Convert to fraction form
    976,549.50/1,492,965 = 1,492,965/x
  3. Step 3: Cross multiply
    976,549.50x = 1,492,965 × 1,492,965
  4. Step 4: Simplify right side
    976,549.50x = 2,228,944,491,225
  5. Step 5: Solve for x
    x = 2,228,944,491,225/976,549.50
  6. Step 6: Final answer
    x = 2,282,469.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.