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Finding the Third Proportional to 841,924 and 1,861,036

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Solution

The third proportional to 841,924 and 1,861,036 is: 4,113,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,924 : 1,861,036 = 1,861,036 : x
  2. Step 2: Convert to fraction form
    841,924/1,861,036 = 1,861,036/x
  3. Step 3: Cross multiply
    841,924x = 1,861,036 × 1,861,036
  4. Step 4: Simplify right side
    841,924x = 3,463,454,993,296
  5. Step 5: Solve for x
    x = 3,463,454,993,296/841,924
  6. Step 6: Final answer
    x = 4,113,738.29

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.