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Finding the Third Proportional to 405,684 and 904,648

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Solution

The third proportional to 405,684 and 904,648 is: 2,017,304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,684 : 904,648 = 904,648 : x
  2. Step 2: Convert to fraction form
    405,684/904,648 = 904,648/x
  3. Step 3: Cross multiply
    405,684x = 904,648 × 904,648
  4. Step 4: Simplify right side
    405,684x = 818,388,003,904
  5. Step 5: Solve for x
    x = 818,388,003,904/405,684
  6. Step 6: Final answer
    x = 2,017,304.12

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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.