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Finding the Third Proportional to 374,142 and 848,158

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Solution

The third proportional to 374,142 and 848,158 is: 1,922,724.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,142 : 848,158 = 848,158 : x
  2. Step 2: Convert to fraction form
    374,142/848,158 = 848,158/x
  3. Step 3: Cross multiply
    374,142x = 848,158 × 848,158
  4. Step 4: Simplify right side
    374,142x = 719,371,992,964
  5. Step 5: Solve for x
    x = 719,371,992,964/374,142
  6. Step 6: Final answer
    x = 1,922,724.51

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.