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Finding the Third Proportional to 405,696 and 904,704

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Solution

The third proportional to 405,696 and 904,704 is: 2,017,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,696 : 904,704 = 904,704 : x
  2. Step 2: Convert to fraction form
    405,696/904,704 = 904,704/x
  3. Step 3: Cross multiply
    405,696x = 904,704 × 904,704
  4. Step 4: Simplify right side
    405,696x = 818,489,327,616
  5. Step 5: Solve for x
    x = 818,489,327,616/405,696
  6. Step 6: Final answer
    x = 2,017,494.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.