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Finding the Third Proportional to 1,946,174 and 3,099,142

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Solution

The third proportional to 1,946,174 and 3,099,142 is: 4,935,160.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946,174 : 3,099,142 = 3,099,142 : x
  2. Step 2: Convert to fraction form
    1,946,174/3,099,142 = 3,099,142/x
  3. Step 3: Cross multiply
    1,946,174x = 3,099,142 × 3,099,142
  4. Step 4: Simplify right side
    1,946,174x = 9,604,681,136,164
  5. Step 5: Solve for x
    x = 9,604,681,136,164/1,946,174
  6. Step 6: Final answer
    x = 4,935,160.54

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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.