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Finding the Third Proportional to 846,672.75 and 1,809,256.50

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Solution

The third proportional to 846,672.75 and 1,809,256.50 is: 3,866,203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,672.75 : 1,809,256.50 = 1,809,256.50 : x
  2. Step 2: Convert to fraction form
    846,672.75/1,809,256.50 = 1,809,256.50/x
  3. Step 3: Cross multiply
    846,672.75x = 1,809,256.50 × 1,809,256.50
  4. Step 4: Simplify right side
    846,672.75x = 3,273,409,082,792.25
  5. Step 5: Solve for x
    x = 3,273,409,082,792.25/846,672.75
  6. Step 6: Final answer
    x = 3,866,203.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.