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Finding the Third Proportional to 822,440.25 and 1,833,986.81

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Solution

The third proportional to 822,440.25 and 1,833,986.81 is: 4,089,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,440.25 : 1,833,986.81 = 1,833,986.81 : x
  2. Step 2: Convert to fraction form
    822,440.25/1,833,986.81 = 1,833,986.81/x
  3. Step 3: Cross multiply
    822,440.25x = 1,833,986.81 × 1,833,986.81
  4. Step 4: Simplify right side
    822,440.25x = 3,363,507,628,423.91
  5. Step 5: Solve for x
    x = 3,363,507,628,423.91/822,440.25
  6. Step 6: Final answer
    x = 4,089,668.07

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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.