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Finding the Third Proportional to 905,467.50 and 1,918,885.50

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Solution

The third proportional to 905,467.50 and 1,918,885.50 is: 4,066,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,467.50 : 1,918,885.50 = 1,918,885.50 : x
  2. Step 2: Convert to fraction form
    905,467.50/1,918,885.50 = 1,918,885.50/x
  3. Step 3: Cross multiply
    905,467.50x = 1,918,885.50 × 1,918,885.50
  4. Step 4: Simplify right side
    905,467.50x = 3,682,121,562,110.25
  5. Step 5: Solve for x
    x = 3,682,121,562,110.25/905,467.50
  6. Step 6: Final answer
    x = 4,066,541.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.