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Finding the Third Proportional to 812,586.94 and 1,259,965.13

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Solution

The third proportional to 812,586.94 and 1,259,965.13 is: 1,953,652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,586.94 : 1,259,965.13 = 1,259,965.13 : x
  2. Step 2: Convert to fraction form
    812,586.94/1,259,965.13 = 1,259,965.13/x
  3. Step 3: Cross multiply
    812,586.94x = 1,259,965.13 × 1,259,965.13
  4. Step 4: Simplify right side
    812,586.94x = 1,587,512,116,216.27
  5. Step 5: Solve for x
    x = 1,587,512,116,216.27/812,586.94
  6. Step 6: Final answer
    x = 1,953,652.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.