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Finding the Third Proportional to 786,974 and 1,189,821

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Solution

The third proportional to 786,974 and 1,189,821 is: 1,798,882.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,974 : 1,189,821 = 1,189,821 : x
  2. Step 2: Convert to fraction form
    786,974/1,189,821 = 1,189,821/x
  3. Step 3: Cross multiply
    786,974x = 1,189,821 × 1,189,821
  4. Step 4: Simplify right side
    786,974x = 1,415,674,012,041
  5. Step 5: Solve for x
    x = 1,415,674,012,041/786,974
  6. Step 6: Final answer
    x = 1,798,882.82

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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.