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Finding the Third Proportional to 850,314 and 1,866,496.50

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Solution

The third proportional to 850,314 and 1,866,496.50 is: 4,097,085.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,314 : 1,866,496.50 = 1,866,496.50 : x
  2. Step 2: Convert to fraction form
    850,314/1,866,496.50 = 1,866,496.50/x
  3. Step 3: Cross multiply
    850,314x = 1,866,496.50 × 1,866,496.50
  4. Step 4: Simplify right side
    850,314x = 3,483,809,184,512.25
  5. Step 5: Solve for x
    x = 3,483,809,184,512.25/850,314
  6. Step 6: Final answer
    x = 4,097,085.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.