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Finding the Third Proportional to 644,046 and 847,125

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Solution

The third proportional to 644,046 and 847,125 is: 1,114,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,046 : 847,125 = 847,125 : x
  2. Step 2: Convert to fraction form
    644,046/847,125 = 847,125/x
  3. Step 3: Cross multiply
    644,046x = 847,125 × 847,125
  4. Step 4: Simplify right side
    644,046x = 717,620,765,625
  5. Step 5: Solve for x
    x = 717,620,765,625/644,046
  6. Step 6: Final answer
    x = 1,114,238.37

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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.