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Finding the Third Proportional to 1,233,861 and 1,680,925.50

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Solution

The third proportional to 1,233,861 and 1,680,925.50 is: 2,289,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,861 : 1,680,925.50 = 1,680,925.50 : x
  2. Step 2: Convert to fraction form
    1,233,861/1,680,925.50 = 1,680,925.50/x
  3. Step 3: Cross multiply
    1,233,861x = 1,680,925.50 × 1,680,925.50
  4. Step 4: Simplify right side
    1,233,861x = 2,825,510,536,550.25
  5. Step 5: Solve for x
    x = 2,825,510,536,550.25/1,233,861
  6. Step 6: Final answer
    x = 2,289,974.75

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.