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Finding the Third Proportional to 2,052,423 and 3,219,626.25

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Solution

The third proportional to 2,052,423 and 3,219,626.25 is: 5,050,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052,423 : 3,219,626.25 = 3,219,626.25 : x
  2. Step 2: Convert to fraction form
    2,052,423/3,219,626.25 = 3,219,626.25/x
  3. Step 3: Cross multiply
    2,052,423x = 3,219,626.25 × 3,219,626.25
  4. Step 4: Simplify right side
    2,052,423x = 10,365,993,189,689.06
  5. Step 5: Solve for x
    x = 10,365,993,189,689.06/2,052,423
  6. Step 6: Final answer
    x = 5,050,612.47

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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.