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Finding the Third Proportional to 600,444 and 1,277,172

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Solution

The third proportional to 600,444 and 1,277,172 is: 2,716,603.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,444 : 1,277,172 = 1,277,172 : x
  2. Step 2: Convert to fraction form
    600,444/1,277,172 = 1,277,172/x
  3. Step 3: Cross multiply
    600,444x = 1,277,172 × 1,277,172
  4. Step 4: Simplify right side
    600,444x = 1,631,168,317,584
  5. Step 5: Solve for x
    x = 1,631,168,317,584/600,444
  6. Step 6: Final answer
    x = 2,716,603.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.