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Finding the Third Proportional to 902,116 and 1,868,177

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Solution

The third proportional to 902,116 and 1,868,177 is: 3,868,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,116 : 1,868,177 = 1,868,177 : x
  2. Step 2: Convert to fraction form
    902,116/1,868,177 = 1,868,177/x
  3. Step 3: Cross multiply
    902,116x = 1,868,177 × 1,868,177
  4. Step 4: Simplify right side
    902,116x = 3,490,085,303,329
  5. Step 5: Solve for x
    x = 3,490,085,303,329/902,116
  6. Step 6: Final answer
    x = 3,868,776.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.