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Finding the Third Proportional to 818,464.50 and 1,785,604.50

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Solution

The third proportional to 818,464.50 and 1,785,604.50 is: 3,895,567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,464.50 : 1,785,604.50 = 1,785,604.50 : x
  2. Step 2: Convert to fraction form
    818,464.50/1,785,604.50 = 1,785,604.50/x
  3. Step 3: Cross multiply
    818,464.50x = 1,785,604.50 × 1,785,604.50
  4. Step 4: Simplify right side
    818,464.50x = 3,188,383,430,420.25
  5. Step 5: Solve for x
    x = 3,188,383,430,420.25/818,464.50
  6. Step 6: Final answer
    x = 3,895,567.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.