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Finding the Third Proportional to 1,177,153 and 1,822,357.50

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Solution

The third proportional to 1,177,153 and 1,822,357.50 is: 2,821,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,153 : 1,822,357.50 = 1,822,357.50 : x
  2. Step 2: Convert to fraction form
    1,177,153/1,822,357.50 = 1,822,357.50/x
  3. Step 3: Cross multiply
    1,177,153x = 1,822,357.50 × 1,822,357.50
  4. Step 4: Simplify right side
    1,177,153x = 3,320,986,857,806.25
  5. Step 5: Solve for x
    x = 3,320,986,857,806.25/1,177,153
  6. Step 6: Final answer
    x = 2,821,202.39

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