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Finding the Third Proportional to 644,044 and 847,122

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Solution

The third proportional to 644,044 and 847,122 is: 1,114,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,044 : 847,122 = 847,122 : x
  2. Step 2: Convert to fraction form
    644,044/847,122 = 847,122/x
  3. Step 3: Cross multiply
    644,044x = 847,122 × 847,122
  4. Step 4: Simplify right side
    644,044x = 717,615,682,884
  5. Step 5: Solve for x
    x = 717,615,682,884/644,044
  6. Step 6: Final answer
    x = 1,114,233.94

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.