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Finding the Third Proportional to 1,216,242 and 1,907,914.50

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Solution

The third proportional to 1,216,242 and 1,907,914.50 is: 2,992,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,242 : 1,907,914.50 = 1,907,914.50 : x
  2. Step 2: Convert to fraction form
    1,216,242/1,907,914.50 = 1,907,914.50/x
  3. Step 3: Cross multiply
    1,216,242x = 1,907,914.50 × 1,907,914.50
  4. Step 4: Simplify right side
    1,216,242x = 3,640,137,739,310.25
  5. Step 5: Solve for x
    x = 3,640,137,739,310.25/1,216,242
  6. Step 6: Final answer
    x = 2,992,938.69

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.