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Finding the Third Proportional to 834,914 and 1,827,364

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Solution

The third proportional to 834,914 and 1,827,364 is: 3,999,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,914 : 1,827,364 = 1,827,364 : x
  2. Step 2: Convert to fraction form
    834,914/1,827,364 = 1,827,364/x
  3. Step 3: Cross multiply
    834,914x = 1,827,364 × 1,827,364
  4. Step 4: Simplify right side
    834,914x = 3,339,259,188,496
  5. Step 5: Solve for x
    x = 3,339,259,188,496/834,914
  6. Step 6: Final answer
    x = 3,999,524.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.