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Finding the Third Proportional to 771,289 and 1,580,162

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Solution

The third proportional to 771,289 and 1,580,162 is: 3,237,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,289 : 1,580,162 = 1,580,162 : x
  2. Step 2: Convert to fraction form
    771,289/1,580,162 = 1,580,162/x
  3. Step 3: Cross multiply
    771,289x = 1,580,162 × 1,580,162
  4. Step 4: Simplify right side
    771,289x = 2,496,911,946,244
  5. Step 5: Solve for x
    x = 2,496,911,946,244/771,289
  6. Step 6: Final answer
    x = 3,237,323.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.