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Finding the Third Proportional to 620,144 and 1,339,432

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Solution

The third proportional to 620,144 and 1,339,432 is: 2,893,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,144 : 1,339,432 = 1,339,432 : x
  2. Step 2: Convert to fraction form
    620,144/1,339,432 = 1,339,432/x
  3. Step 3: Cross multiply
    620,144x = 1,339,432 × 1,339,432
  4. Step 4: Simplify right side
    620,144x = 1,794,078,082,624
  5. Step 5: Solve for x
    x = 1,794,078,082,624/620,144
  6. Step 6: Final answer
    x = 2,893,002.40

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Why These Related Problems?

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