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Finding the Third Proportional to 513,972 and 1,104,489

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Solution

The third proportional to 513,972 and 1,104,489 is: 2,373,467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,972 : 1,104,489 = 1,104,489 : x
  2. Step 2: Convert to fraction form
    513,972/1,104,489 = 1,104,489/x
  3. Step 3: Cross multiply
    513,972x = 1,104,489 × 1,104,489
  4. Step 4: Simplify right side
    513,972x = 1,219,895,951,121
  5. Step 5: Solve for x
    x = 1,219,895,951,121/513,972
  6. Step 6: Final answer
    x = 2,373,467.72

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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.