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Finding the Third Proportional to 2,673,098 and 3,862,164

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Solution

The third proportional to 2,673,098 and 3,862,164 is: 5,580,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673,098 : 3,862,164 = 3,862,164 : x
  2. Step 2: Convert to fraction form
    2,673,098/3,862,164 = 3,862,164/x
  3. Step 3: Cross multiply
    2,673,098x = 3,862,164 × 3,862,164
  4. Step 4: Simplify right side
    2,673,098x = 14,916,310,762,896
  5. Step 5: Solve for x
    x = 14,916,310,762,896/2,673,098
  6. Step 6: Final answer
    x = 5,580,158.59

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.