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Finding the Third Proportional to 509,040 and 1,105,568

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Solution

The third proportional to 509,040 and 1,105,568 is: 2,401,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,040 : 1,105,568 = 1,105,568 : x
  2. Step 2: Convert to fraction form
    509,040/1,105,568 = 1,105,568/x
  3. Step 3: Cross multiply
    509,040x = 1,105,568 × 1,105,568
  4. Step 4: Simplify right side
    509,040x = 1,222,280,602,624
  5. Step 5: Solve for x
    x = 1,222,280,602,624/509,040
  6. Step 6: Final answer
    x = 2,401,148.44

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Why These Related Problems?

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