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Finding the Third Proportional to 836,009 and 1,281,001

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Solution

The third proportional to 836,009 and 1,281,001 is: 1,962,853.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,009 : 1,281,001 = 1,281,001 : x
  2. Step 2: Convert to fraction form
    836,009/1,281,001 = 1,281,001/x
  3. Step 3: Cross multiply
    836,009x = 1,281,001 × 1,281,001
  4. Step 4: Simplify right side
    836,009x = 1,640,963,562,001
  5. Step 5: Solve for x
    x = 1,640,963,562,001/836,009
  6. Step 6: Final answer
    x = 1,962,853.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.