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Finding the Third Proportional to 835,513 and 1,783,777

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Solution

The third proportional to 835,513 and 1,783,777 is: 3,808,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,513 : 1,783,777 = 1,783,777 : x
  2. Step 2: Convert to fraction form
    835,513/1,783,777 = 1,783,777/x
  3. Step 3: Cross multiply
    835,513x = 1,783,777 × 1,783,777
  4. Step 4: Simplify right side
    835,513x = 3,181,860,385,729
  5. Step 5: Solve for x
    x = 3,181,860,385,729/835,513
  6. Step 6: Final answer
    x = 3,808,271.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.