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Finding the Third Proportional to 834,496 and 1,802,024

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Solution

The third proportional to 834,496 and 1,802,024 is: 3,891,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,496 : 1,802,024 = 1,802,024 : x
  2. Step 2: Convert to fraction form
    834,496/1,802,024 = 1,802,024/x
  3. Step 3: Cross multiply
    834,496x = 1,802,024 × 1,802,024
  4. Step 4: Simplify right side
    834,496x = 3,247,290,496,576
  5. Step 5: Solve for x
    x = 3,247,290,496,576/834,496
  6. Step 6: Final answer
    x = 3,891,319.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.