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Finding the Third Proportional to 843,722 and 1,820,038

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Solution

The third proportional to 843,722 and 1,820,038 is: 3,926,101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,722 : 1,820,038 = 1,820,038 : x
  2. Step 2: Convert to fraction form
    843,722/1,820,038 = 1,820,038/x
  3. Step 3: Cross multiply
    843,722x = 1,820,038 × 1,820,038
  4. Step 4: Simplify right side
    843,722x = 3,312,538,321,444
  5. Step 5: Solve for x
    x = 3,312,538,321,444/843,722
  6. Step 6: Final answer
    x = 3,926,101.63

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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.