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Finding the Third Proportional to 379,370 and 793,814

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Solution

The third proportional to 379,370 and 793,814 is: 1,661,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,370 : 793,814 = 793,814 : x
  2. Step 2: Convert to fraction form
    379,370/793,814 = 793,814/x
  3. Step 3: Cross multiply
    379,370x = 793,814 × 793,814
  4. Step 4: Simplify right side
    379,370x = 630,140,666,596
  5. Step 5: Solve for x
    x = 630,140,666,596/379,370
  6. Step 6: Final answer
    x = 1,661,018.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.