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Finding the Third Proportional to 2,075,989.50 and 4,493,147.63

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Solution

The third proportional to 2,075,989.50 and 4,493,147.63 is: 9,724,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075,989.50 : 4,493,147.63 = 4,493,147.63 : x
  2. Step 2: Convert to fraction form
    2,075,989.50/4,493,147.63 = 4,493,147.63/x
  3. Step 3: Cross multiply
    2,075,989.50x = 4,493,147.63 × 4,493,147.63
  4. Step 4: Simplify right side
    2,075,989.50x = 20,188,375,580,043.14
  5. Step 5: Solve for x
    x = 20,188,375,580,043.14/2,075,989.50
  6. Step 6: Final answer
    x = 9,724,700.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.