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Finding the Third Proportional to 3,075,269 and 4,733,351

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Solution

The third proportional to 3,075,269 and 4,733,351 is: 7,285,415.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075,269 : 4,733,351 = 4,733,351 : x
  2. Step 2: Convert to fraction form
    3,075,269/4,733,351 = 4,733,351/x
  3. Step 3: Cross multiply
    3,075,269x = 4,733,351 × 4,733,351
  4. Step 4: Simplify right side
    3,075,269x = 22,404,611,689,201
  5. Step 5: Solve for x
    x = 22,404,611,689,201/3,075,269
  6. Step 6: Final answer
    x = 7,285,415.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.