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Finding the Third Proportional to 663,006 and 1,019,680

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Solution

The third proportional to 663,006 and 1,019,680 is: 1,568,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,006 : 1,019,680 = 1,019,680 : x
  2. Step 2: Convert to fraction form
    663,006/1,019,680 = 1,019,680/x
  3. Step 3: Cross multiply
    663,006x = 1,019,680 × 1,019,680
  4. Step 4: Simplify right side
    663,006x = 1,039,747,302,400
  5. Step 5: Solve for x
    x = 1,039,747,302,400/663,006
  6. Step 6: Final answer
    x = 1,568,232.12

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.