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Finding the Third Proportional to 834,213 and 1,821,333

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Solution

The third proportional to 834,213 and 1,821,333 is: 3,976,507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,213 : 1,821,333 = 1,821,333 : x
  2. Step 2: Convert to fraction form
    834,213/1,821,333 = 1,821,333/x
  3. Step 3: Cross multiply
    834,213x = 1,821,333 × 1,821,333
  4. Step 4: Simplify right side
    834,213x = 3,317,253,896,889
  5. Step 5: Solve for x
    x = 3,317,253,896,889/834,213
  6. Step 6: Final answer
    x = 3,976,507.08

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