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Finding the Third Proportional to 512,038 and 1,117,244

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Solution

The third proportional to 512,038 and 1,117,244 is: 2,437,776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,038 : 1,117,244 = 1,117,244 : x
  2. Step 2: Convert to fraction form
    512,038/1,117,244 = 1,117,244/x
  3. Step 3: Cross multiply
    512,038x = 1,117,244 × 1,117,244
  4. Step 4: Simplify right side
    512,038x = 1,248,234,155,536
  5. Step 5: Solve for x
    x = 1,248,234,155,536/512,038
  6. Step 6: Final answer
    x = 2,437,776.41

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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.