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Finding the Third Proportional to 767,844.50 and 1,670,736

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Solution

The third proportional to 767,844.50 and 1,670,736 is: 3,635,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,844.50 : 1,670,736 = 1,670,736 : x
  2. Step 2: Convert to fraction form
    767,844.50/1,670,736 = 1,670,736/x
  3. Step 3: Cross multiply
    767,844.50x = 1,670,736 × 1,670,736
  4. Step 4: Simplify right side
    767,844.50x = 2,791,358,781,696
  5. Step 5: Solve for x
    x = 2,791,358,781,696/767,844.50
  6. Step 6: Final answer
    x = 3,635,317.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.