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Finding the Third Proportional to 1,419,967 and 2,144,734.50

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Solution

The third proportional to 1,419,967 and 2,144,734.50 is: 3,239,431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,967 : 2,144,734.50 = 2,144,734.50 : x
  2. Step 2: Convert to fraction form
    1,419,967/2,144,734.50 = 2,144,734.50/x
  3. Step 3: Cross multiply
    1,419,967x = 2,144,734.50 × 2,144,734.50
  4. Step 4: Simplify right side
    1,419,967x = 4,599,886,075,490.25
  5. Step 5: Solve for x
    x = 4,599,886,075,490.25/1,419,967
  6. Step 6: Final answer
    x = 3,239,431.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.