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Finding the Third Proportional to 828,598.50 and 1,279,529.25

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Solution

The third proportional to 828,598.50 and 1,279,529.25 is: 1,975,860.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,598.50 : 1,279,529.25 = 1,279,529.25 : x
  2. Step 2: Convert to fraction form
    828,598.50/1,279,529.25 = 1,279,529.25/x
  3. Step 3: Cross multiply
    828,598.50x = 1,279,529.25 × 1,279,529.25
  4. Step 4: Simplify right side
    828,598.50x = 1,637,195,101,605.56
  5. Step 5: Solve for x
    x = 1,637,195,101,605.56/828,598.50
  6. Step 6: Final answer
    x = 1,975,860.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.