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Finding the Third Proportional to 529,271 and 1,146,025

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Solution

The third proportional to 529,271 and 1,146,025 is: 2,481,476.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,271 : 1,146,025 = 1,146,025 : x
  2. Step 2: Convert to fraction form
    529,271/1,146,025 = 1,146,025/x
  3. Step 3: Cross multiply
    529,271x = 1,146,025 × 1,146,025
  4. Step 4: Simplify right side
    529,271x = 1,313,373,300,625
  5. Step 5: Solve for x
    x = 1,313,373,300,625/529,271
  6. Step 6: Final answer
    x = 2,481,476.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.