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Finding the Third Proportional to 734,082 and 1,617,168

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Solution

The third proportional to 734,082 and 1,617,168 is: 3,562,588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,082 : 1,617,168 = 1,617,168 : x
  2. Step 2: Convert to fraction form
    734,082/1,617,168 = 1,617,168/x
  3. Step 3: Cross multiply
    734,082x = 1,617,168 × 1,617,168
  4. Step 4: Simplify right side
    734,082x = 2,615,232,340,224
  5. Step 5: Solve for x
    x = 2,615,232,340,224/734,082
  6. Step 6: Final answer
    x = 3,562,588.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.