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Finding the Third Proportional to 379,038 and 817,119

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Solution

The third proportional to 379,038 and 817,119 is: 1,761,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,038 : 817,119 = 817,119 : x
  2. Step 2: Convert to fraction form
    379,038/817,119 = 817,119/x
  3. Step 3: Cross multiply
    379,038x = 817,119 × 817,119
  4. Step 4: Simplify right side
    379,038x = 667,683,460,161
  5. Step 5: Solve for x
    x = 667,683,460,161/379,038
  6. Step 6: Final answer
    x = 1,761,521.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.