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Finding the Third Proportional to 644,289 and 1,333,170

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Solution

The third proportional to 644,289 and 1,333,170 is: 2,758,610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,289 : 1,333,170 = 1,333,170 : x
  2. Step 2: Convert to fraction form
    644,289/1,333,170 = 1,333,170/x
  3. Step 3: Cross multiply
    644,289x = 1,333,170 × 1,333,170
  4. Step 4: Simplify right side
    644,289x = 1,777,342,248,900
  5. Step 5: Solve for x
    x = 1,777,342,248,900/644,289
  6. Step 6: Final answer
    x = 2,758,610.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.