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Finding the Third Proportional to 604,116 and 959,742

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Solution

The third proportional to 604,116 and 959,742 is: 1,524,714.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,116 : 959,742 = 959,742 : x
  2. Step 2: Convert to fraction form
    604,116/959,742 = 959,742/x
  3. Step 3: Cross multiply
    604,116x = 959,742 × 959,742
  4. Step 4: Simplify right side
    604,116x = 921,104,706,564
  5. Step 5: Solve for x
    x = 921,104,706,564/604,116
  6. Step 6: Final answer
    x = 1,524,714.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.