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Finding the Third Proportional to 395,426 and 933,008

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Solution

The third proportional to 395,426 and 933,008 is: 2,201,433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,426 : 933,008 = 933,008 : x
  2. Step 2: Convert to fraction form
    395,426/933,008 = 933,008/x
  3. Step 3: Cross multiply
    395,426x = 933,008 × 933,008
  4. Step 4: Simplify right side
    395,426x = 870,503,928,064
  5. Step 5: Solve for x
    x = 870,503,928,064/395,426
  6. Step 6: Final answer
    x = 2,201,433.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.