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Finding the Third Proportional to 602,904 and 933,116

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Solution

The third proportional to 602,904 and 933,116 is: 1,444,185.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,904 : 933,116 = 933,116 : x
  2. Step 2: Convert to fraction form
    602,904/933,116 = 933,116/x
  3. Step 3: Cross multiply
    602,904x = 933,116 × 933,116
  4. Step 4: Simplify right side
    602,904x = 870,705,469,456
  5. Step 5: Solve for x
    x = 870,705,469,456/602,904
  6. Step 6: Final answer
    x = 1,444,185.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.