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Finding the Third Proportional to 405,538 and 836,778

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Solution

The third proportional to 405,538 and 836,778 is: 1,726,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,538 : 836,778 = 836,778 : x
  2. Step 2: Convert to fraction form
    405,538/836,778 = 836,778/x
  3. Step 3: Cross multiply
    405,538x = 836,778 × 836,778
  4. Step 4: Simplify right side
    405,538x = 700,197,421,284
  5. Step 5: Solve for x
    x = 700,197,421,284/405,538
  6. Step 6: Final answer
    x = 1,726,588.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.