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Finding the Third Proportional to 644,010 and 847,107

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Solution

The third proportional to 644,010 and 847,107 is: 1,114,253.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,010 : 847,107 = 847,107 : x
  2. Step 2: Convert to fraction form
    644,010/847,107 = 847,107/x
  3. Step 3: Cross multiply
    644,010x = 847,107 × 847,107
  4. Step 4: Simplify right side
    644,010x = 717,590,269,449
  5. Step 5: Solve for x
    x = 717,590,269,449/644,010
  6. Step 6: Final answer
    x = 1,114,253.30

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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.