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Finding the Third Proportional to 1,606,533 and 3,477,558

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Solution

The third proportional to 1,606,533 and 3,477,558 is: 7,527,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606,533 : 3,477,558 = 3,477,558 : x
  2. Step 2: Convert to fraction form
    1,606,533/3,477,558 = 3,477,558/x
  3. Step 3: Cross multiply
    1,606,533x = 3,477,558 × 3,477,558
  4. Step 4: Simplify right side
    1,606,533x = 12,093,409,643,364
  5. Step 5: Solve for x
    x = 12,093,409,643,364/1,606,533
  6. Step 6: Final answer
    x = 7,527,644.71

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