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Finding the Third Proportional to 836,011 and 1,281,004

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Solution

The third proportional to 836,011 and 1,281,004 is: 1,962,858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,011 : 1,281,004 = 1,281,004 : x
  2. Step 2: Convert to fraction form
    836,011/1,281,004 = 1,281,004/x
  3. Step 3: Cross multiply
    836,011x = 1,281,004 × 1,281,004
  4. Step 4: Simplify right side
    836,011x = 1,640,971,248,016
  5. Step 5: Solve for x
    x = 1,640,971,248,016/836,011
  6. Step 6: Final answer
    x = 1,962,858.44

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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.