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Finding the Third Proportional to 898,053.75 and 1,928,967.75

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Solution

The third proportional to 898,053.75 and 1,928,967.75 is: 4,143,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,053.75 : 1,928,967.75 = 1,928,967.75 : x
  2. Step 2: Convert to fraction form
    898,053.75/1,928,967.75 = 1,928,967.75/x
  3. Step 3: Cross multiply
    898,053.75x = 1,928,967.75 × 1,928,967.75
  4. Step 4: Simplify right side
    898,053.75x = 3,720,916,580,540.06
  5. Step 5: Solve for x
    x = 3,720,916,580,540.06/898,053.75
  6. Step 6: Final answer
    x = 4,143,311.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.