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Finding the Third Proportional to 902,339 and 1,376,236

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Solution

The third proportional to 902,339 and 1,376,236 is: 2,099,017.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,339 : 1,376,236 = 1,376,236 : x
  2. Step 2: Convert to fraction form
    902,339/1,376,236 = 1,376,236/x
  3. Step 3: Cross multiply
    902,339x = 1,376,236 × 1,376,236
  4. Step 4: Simplify right side
    902,339x = 1,894,025,527,696
  5. Step 5: Solve for x
    x = 1,894,025,527,696/902,339
  6. Step 6: Final answer
    x = 2,099,017.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.