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Finding the Third Proportional to 619,814 and 957,059

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Solution

The third proportional to 619,814 and 957,059 is: 1,477,801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,814 : 957,059 = 957,059 : x
  2. Step 2: Convert to fraction form
    619,814/957,059 = 957,059/x
  3. Step 3: Cross multiply
    619,814x = 957,059 × 957,059
  4. Step 4: Simplify right side
    619,814x = 915,961,929,481
  5. Step 5: Solve for x
    x = 915,961,929,481/619,814
  6. Step 6: Final answer
    x = 1,477,801.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.