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Finding the Third Proportional to 543,024 and 1,170,288

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Solution

The third proportional to 543,024 and 1,170,288 is: 2,522,124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,024 : 1,170,288 = 1,170,288 : x
  2. Step 2: Convert to fraction form
    543,024/1,170,288 = 1,170,288/x
  3. Step 3: Cross multiply
    543,024x = 1,170,288 × 1,170,288
  4. Step 4: Simplify right side
    543,024x = 1,369,574,002,944
  5. Step 5: Solve for x
    x = 1,369,574,002,944/543,024
  6. Step 6: Final answer
    x = 2,522,124.26

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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.