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Finding the Third Proportional to 562,568 and 1,146,024

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Solution

The third proportional to 562,568 and 1,146,024 is: 2,334,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,568 : 1,146,024 = 1,146,024 : x
  2. Step 2: Convert to fraction form
    562,568/1,146,024 = 1,146,024/x
  3. Step 3: Cross multiply
    562,568x = 1,146,024 × 1,146,024
  4. Step 4: Simplify right side
    562,568x = 1,313,371,008,576
  5. Step 5: Solve for x
    x = 1,313,371,008,576/562,568
  6. Step 6: Final answer
    x = 2,334,599.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.