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Finding the Third Proportional to 511,003 and 1,074,926

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Solution

The third proportional to 511,003 and 1,074,926 is: 2,261,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,003 : 1,074,926 = 1,074,926 : x
  2. Step 2: Convert to fraction form
    511,003/1,074,926 = 1,074,926/x
  3. Step 3: Cross multiply
    511,003x = 1,074,926 × 1,074,926
  4. Step 4: Simplify right side
    511,003x = 1,155,465,905,476
  5. Step 5: Solve for x
    x = 1,155,465,905,476/511,003
  6. Step 6: Final answer
    x = 2,261,172.45

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.