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Finding the Third Proportional to 1,043,563.50 and 2,199,109.50

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Solution

The third proportional to 1,043,563.50 and 2,199,109.50 is: 4,634,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,563.50 : 2,199,109.50 = 2,199,109.50 : x
  2. Step 2: Convert to fraction form
    1,043,563.50/2,199,109.50 = 2,199,109.50/x
  3. Step 3: Cross multiply
    1,043,563.50x = 2,199,109.50 × 2,199,109.50
  4. Step 4: Simplify right side
    1,043,563.50x = 4,836,082,592,990.25
  5. Step 5: Solve for x
    x = 4,836,082,592,990.25/1,043,563.50
  6. Step 6: Final answer
    x = 4,634,200.60

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.