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Finding the Third Proportional to 471,914 and 1,037,140

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Solution

The third proportional to 471,914 and 1,037,140 is: 2,279,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,914 : 1,037,140 = 1,037,140 : x
  2. Step 2: Convert to fraction form
    471,914/1,037,140 = 1,037,140/x
  3. Step 3: Cross multiply
    471,914x = 1,037,140 × 1,037,140
  4. Step 4: Simplify right side
    471,914x = 1,075,659,379,600
  5. Step 5: Solve for x
    x = 1,075,659,379,600/471,914
  6. Step 6: Final answer
    x = 2,279,354.67

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