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Finding the Third Proportional to 658,884.75 and 1,443,843.75

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Solution

The third proportional to 658,884.75 and 1,443,843.75 is: 3,163,959.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,884.75 : 1,443,843.75 = 1,443,843.75 : x
  2. Step 2: Convert to fraction form
    658,884.75/1,443,843.75 = 1,443,843.75/x
  3. Step 3: Cross multiply
    658,884.75x = 1,443,843.75 × 1,443,843.75
  4. Step 4: Simplify right side
    658,884.75x = 2,084,684,774,414.06
  5. Step 5: Solve for x
    x = 2,084,684,774,414.06/658,884.75
  6. Step 6: Final answer
    x = 3,163,959.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.