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Finding the Third Proportional to 512,516 and 1,121,564

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Solution

The third proportional to 512,516 and 1,121,564 is: 2,454,373.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,516 : 1,121,564 = 1,121,564 : x
  2. Step 2: Convert to fraction form
    512,516/1,121,564 = 1,121,564/x
  3. Step 3: Cross multiply
    512,516x = 1,121,564 × 1,121,564
  4. Step 4: Simplify right side
    512,516x = 1,257,905,806,096
  5. Step 5: Solve for x
    x = 1,257,905,806,096/512,516
  6. Step 6: Final answer
    x = 2,454,373.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.