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Finding the Third Proportional to 789,666 and 1,155,021

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Solution

The third proportional to 789,666 and 1,155,021 is: 1,689,414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,666 : 1,155,021 = 1,155,021 : x
  2. Step 2: Convert to fraction form
    789,666/1,155,021 = 1,155,021/x
  3. Step 3: Cross multiply
    789,666x = 1,155,021 × 1,155,021
  4. Step 4: Simplify right side
    789,666x = 1,334,073,510,441
  5. Step 5: Solve for x
    x = 1,334,073,510,441/789,666
  6. Step 6: Final answer
    x = 1,689,414.91

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.