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Finding the Third Proportional to 822,442.88 and 1,833,991.69

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Solution

The third proportional to 822,442.88 and 1,833,991.69 is: 4,089,676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,442.88 : 1,833,991.69 = 1,833,991.69 : x
  2. Step 2: Convert to fraction form
    822,442.88/1,833,991.69 = 1,833,991.69/x
  3. Step 3: Cross multiply
    822,442.88x = 1,833,991.69 × 1,833,991.69
  4. Step 4: Simplify right side
    822,442.88x = 3,363,525,509,819.10
  5. Step 5: Solve for x
    x = 3,363,525,509,819.10/822,442.88
  6. Step 6: Final answer
    x = 4,089,676.76

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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.