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Finding the Third Proportional to 1,231,594 and 1,961,222

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Solution

The third proportional to 1,231,594 and 1,961,222 is: 3,123,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231,594 : 1,961,222 = 1,961,222 : x
  2. Step 2: Convert to fraction form
    1,231,594/1,961,222 = 1,961,222/x
  3. Step 3: Cross multiply
    1,231,594x = 1,961,222 × 1,961,222
  4. Step 4: Simplify right side
    1,231,594x = 3,846,391,733,284
  5. Step 5: Solve for x
    x = 3,846,391,733,284/1,231,594
  6. Step 6: Final answer
    x = 3,123,100.42

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.