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Finding the Third Proportional to 818,436.75 and 1,238,974.50

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Solution

The third proportional to 818,436.75 and 1,238,974.50 is: 1,875,597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,436.75 : 1,238,974.50 = 1,238,974.50 : x
  2. Step 2: Convert to fraction form
    818,436.75/1,238,974.50 = 1,238,974.50/x
  3. Step 3: Cross multiply
    818,436.75x = 1,238,974.50 × 1,238,974.50
  4. Step 4: Simplify right side
    818,436.75x = 1,535,057,811,650.25
  5. Step 5: Solve for x
    x = 1,535,057,811,650.25/818,436.75
  6. Step 6: Final answer
    x = 1,875,597.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.