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Finding the Third Proportional to 834,083 and 1,821,074

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Solution

The third proportional to 834,083 and 1,821,074 is: 3,975,995.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,083 : 1,821,074 = 1,821,074 : x
  2. Step 2: Convert to fraction form
    834,083/1,821,074 = 1,821,074/x
  3. Step 3: Cross multiply
    834,083x = 1,821,074 × 1,821,074
  4. Step 4: Simplify right side
    834,083x = 3,316,310,513,476
  5. Step 5: Solve for x
    x = 3,316,310,513,476/834,083
  6. Step 6: Final answer
    x = 3,975,995.81

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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.