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Finding the Third Proportional to 1,477,042.50 and 3,180,075

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Solution

The third proportional to 1,477,042.50 and 3,180,075 is: 6,846,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,042.50 : 3,180,075 = 3,180,075 : x
  2. Step 2: Convert to fraction form
    1,477,042.50/3,180,075 = 3,180,075/x
  3. Step 3: Cross multiply
    1,477,042.50x = 3,180,075 × 3,180,075
  4. Step 4: Simplify right side
    1,477,042.50x = 10,112,877,005,625
  5. Step 5: Solve for x
    x = 10,112,877,005,625/1,477,042.50
  6. Step 6: Final answer
    x = 6,846,706.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.