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Finding the Third Proportional to 379,820 and 832,104

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Solution

The third proportional to 379,820 and 832,104 is: 1,822,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,820 : 832,104 = 832,104 : x
  2. Step 2: Convert to fraction form
    379,820/832,104 = 832,104/x
  3. Step 3: Cross multiply
    379,820x = 832,104 × 832,104
  4. Step 4: Simplify right side
    379,820x = 692,397,066,816
  5. Step 5: Solve for x
    x = 692,397,066,816/379,820
  6. Step 6: Final answer
    x = 1,822,961.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.