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Finding the Third Proportional to 822,443.06 and 1,833,991.03

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Solution

The third proportional to 822,443.06 and 1,833,991.03 is: 4,089,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,443.06 : 1,833,991.03 = 1,833,991.03 : x
  2. Step 2: Convert to fraction form
    822,443.06/1,833,991.03 = 1,833,991.03/x
  3. Step 3: Cross multiply
    822,443.06x = 1,833,991.03 × 1,833,991.03
  4. Step 4: Simplify right side
    822,443.06x = 3,363,523,102,705.44
  5. Step 5: Solve for x
    x = 3,363,523,102,705.44/822,443.06
  6. Step 6: Final answer
    x = 4,089,672.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.