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Finding the Third Proportional to 1,193,022 and 1,806,909

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Solution

The third proportional to 1,193,022 and 1,806,909 is: 2,736,680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,022 : 1,806,909 = 1,806,909 : x
  2. Step 2: Convert to fraction form
    1,193,022/1,806,909 = 1,806,909/x
  3. Step 3: Cross multiply
    1,193,022x = 1,806,909 × 1,806,909
  4. Step 4: Simplify right side
    1,193,022x = 3,264,920,134,281
  5. Step 5: Solve for x
    x = 3,264,920,134,281/1,193,022
  6. Step 6: Final answer
    x = 2,736,680.58

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