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Finding the Third Proportional to 534,645 and 777,910

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Solution

The third proportional to 534,645 and 777,910 is: 1,131,861.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,645 : 777,910 = 777,910 : x
  2. Step 2: Convert to fraction form
    534,645/777,910 = 777,910/x
  3. Step 3: Cross multiply
    534,645x = 777,910 × 777,910
  4. Step 4: Simplify right side
    534,645x = 605,143,968,100
  5. Step 5: Solve for x
    x = 605,143,968,100/534,645
  6. Step 6: Final answer
    x = 1,131,861.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.