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Finding the Third Proportional to 512,856 and 1,116,018

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Solution

The third proportional to 512,856 and 1,116,018 is: 2,428,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,856 : 1,116,018 = 1,116,018 : x
  2. Step 2: Convert to fraction form
    512,856/1,116,018 = 1,116,018/x
  3. Step 3: Cross multiply
    512,856x = 1,116,018 × 1,116,018
  4. Step 4: Simplify right side
    512,856x = 1,245,496,176,324
  5. Step 5: Solve for x
    x = 1,245,496,176,324/512,856
  6. Step 6: Final answer
    x = 2,428,549.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.