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Finding the Third Proportional to 1,932,197 and 4,546,380

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Solution

The third proportional to 1,932,197 and 4,546,380 is: 10,697,444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932,197 : 4,546,380 = 4,546,380 : x
  2. Step 2: Convert to fraction form
    1,932,197/4,546,380 = 4,546,380/x
  3. Step 3: Cross multiply
    1,932,197x = 4,546,380 × 4,546,380
  4. Step 4: Simplify right side
    1,932,197x = 20,669,571,104,400
  5. Step 5: Solve for x
    x = 20,669,571,104,400/1,932,197
  6. Step 6: Final answer
    x = 10,697,444.98

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.