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Finding the Third Proportional to 908,162 and 1,946,722

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Solution

The third proportional to 908,162 and 1,946,722 is: 4,172,963.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,162 : 1,946,722 = 1,946,722 : x
  2. Step 2: Convert to fraction form
    908,162/1,946,722 = 1,946,722/x
  3. Step 3: Cross multiply
    908,162x = 1,946,722 × 1,946,722
  4. Step 4: Simplify right side
    908,162x = 3,789,726,545,284
  5. Step 5: Solve for x
    x = 3,789,726,545,284/908,162
  6. Step 6: Final answer
    x = 4,172,963.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.