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Finding the Third Proportional to 836,984 and 1,783,468

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Solution

The third proportional to 836,984 and 1,783,468 is: 3,800,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,984 : 1,783,468 = 1,783,468 : x
  2. Step 2: Convert to fraction form
    836,984/1,783,468 = 1,783,468/x
  3. Step 3: Cross multiply
    836,984x = 1,783,468 × 1,783,468
  4. Step 4: Simplify right side
    836,984x = 3,180,758,107,024
  5. Step 5: Solve for x
    x = 3,180,758,107,024/836,984
  6. Step 6: Final answer
    x = 3,800,261.54

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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.