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Finding the Third Proportional to 1,193,016 and 1,806,898.50

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Solution

The third proportional to 1,193,016 and 1,806,898.50 is: 2,736,662.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,016 : 1,806,898.50 = 1,806,898.50 : x
  2. Step 2: Convert to fraction form
    1,193,016/1,806,898.50 = 1,806,898.50/x
  3. Step 3: Cross multiply
    1,193,016x = 1,806,898.50 × 1,806,898.50
  4. Step 4: Simplify right side
    1,193,016x = 3,264,882,189,302.25
  5. Step 5: Solve for x
    x = 3,264,882,189,302.25/1,193,016
  6. Step 6: Final answer
    x = 2,736,662.53

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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.