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Finding the Third Proportional to 1,646,082 and 2,349,384.75

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Solution

The third proportional to 1,646,082 and 2,349,384.75 is: 3,353,179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646,082 : 2,349,384.75 = 2,349,384.75 : x
  2. Step 2: Convert to fraction form
    1,646,082/2,349,384.75 = 2,349,384.75/x
  3. Step 3: Cross multiply
    1,646,082x = 2,349,384.75 × 2,349,384.75
  4. Step 4: Simplify right side
    1,646,082x = 5,519,608,703,532.56
  5. Step 5: Solve for x
    x = 5,519,608,703,532.56/1,646,082
  6. Step 6: Final answer
    x = 3,353,179.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.