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Finding the Third Proportional to 644,576 and 1,342,082

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Solution

The third proportional to 644,576 and 1,342,082 is: 2,794,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,576 : 1,342,082 = 1,342,082 : x
  2. Step 2: Convert to fraction form
    644,576/1,342,082 = 1,342,082/x
  3. Step 3: Cross multiply
    644,576x = 1,342,082 × 1,342,082
  4. Step 4: Simplify right side
    644,576x = 1,801,184,094,724
  5. Step 5: Solve for x
    x = 1,801,184,094,724/644,576
  6. Step 6: Final answer
    x = 2,794,370.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.