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Finding the Third Proportional to 524,024 and 1,122,816

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Solution

The third proportional to 524,024 and 1,122,816 is: 2,405,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,024 : 1,122,816 = 1,122,816 : x
  2. Step 2: Convert to fraction form
    524,024/1,122,816 = 1,122,816/x
  3. Step 3: Cross multiply
    524,024x = 1,122,816 × 1,122,816
  4. Step 4: Simplify right side
    524,024x = 1,260,715,769,856
  5. Step 5: Solve for x
    x = 1,260,715,769,856/524,024
  6. Step 6: Final answer
    x = 2,405,835.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.