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Finding the Third Proportional to 512,699 and 1,104,289

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Solution

The third proportional to 512,699 and 1,104,289 is: 2,378,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,699 : 1,104,289 = 1,104,289 : x
  2. Step 2: Convert to fraction form
    512,699/1,104,289 = 1,104,289/x
  3. Step 3: Cross multiply
    512,699x = 1,104,289 × 1,104,289
  4. Step 4: Simplify right side
    512,699x = 1,219,454,195,521
  5. Step 5: Solve for x
    x = 1,219,454,195,521/512,699
  6. Step 6: Final answer
    x = 2,378,499.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.