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Finding the Third Proportional to 529,837 and 1,158,024

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Solution

The third proportional to 529,837 and 1,158,024 is: 2,531,004.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,837 : 1,158,024 = 1,158,024 : x
  2. Step 2: Convert to fraction form
    529,837/1,158,024 = 1,158,024/x
  3. Step 3: Cross multiply
    529,837x = 1,158,024 × 1,158,024
  4. Step 4: Simplify right side
    529,837x = 1,341,019,584,576
  5. Step 5: Solve for x
    x = 1,341,019,584,576/529,837
  6. Step 6: Final answer
    x = 2,531,004.03

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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.