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Finding the Third Proportional to 834,196.50 and 1,821,303

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Solution

The third proportional to 834,196.50 and 1,821,303 is: 3,976,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,196.50 : 1,821,303 = 1,821,303 : x
  2. Step 2: Convert to fraction form
    834,196.50/1,821,303 = 1,821,303/x
  3. Step 3: Cross multiply
    834,196.50x = 1,821,303 × 1,821,303
  4. Step 4: Simplify right side
    834,196.50x = 3,317,144,617,809
  5. Step 5: Solve for x
    x = 3,317,144,617,809/834,196.50
  6. Step 6: Final answer
    x = 3,976,454.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.