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Finding the Third Proportional to 833,006 and 1,245,945

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Solution

The third proportional to 833,006 and 1,245,945 is: 1,863,586.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,006 : 1,245,945 = 1,245,945 : x
  2. Step 2: Convert to fraction form
    833,006/1,245,945 = 1,245,945/x
  3. Step 3: Cross multiply
    833,006x = 1,245,945 × 1,245,945
  4. Step 4: Simplify right side
    833,006x = 1,552,378,943,025
  5. Step 5: Solve for x
    x = 1,552,378,943,025/833,006
  6. Step 6: Final answer
    x = 1,863,586.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.