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Finding the Third Proportional to 822,431.92 and 1,833,967.51

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Solution

The third proportional to 822,431.92 and 1,833,967.51 is: 4,089,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,431.92 : 1,833,967.51 = 1,833,967.51 : x
  2. Step 2: Convert to fraction form
    822,431.92/1,833,967.51 = 1,833,967.51/x
  3. Step 3: Cross multiply
    822,431.92x = 1,833,967.51 × 1,833,967.51
  4. Step 4: Simplify right side
    822,431.92x = 3,363,436,834,040.05
  5. Step 5: Solve for x
    x = 3,363,436,834,040.05/822,431.92
  6. Step 6: Final answer
    x = 4,089,623.42

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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.