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Finding the Third Proportional to 1,678,274 and 2,581,123

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Solution

The third proportional to 1,678,274 and 2,581,123 is: 3,969,671.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678,274 : 2,581,123 = 2,581,123 : x
  2. Step 2: Convert to fraction form
    1,678,274/2,581,123 = 2,581,123/x
  3. Step 3: Cross multiply
    1,678,274x = 2,581,123 × 2,581,123
  4. Step 4: Simplify right side
    1,678,274x = 6,662,195,941,129
  5. Step 5: Solve for x
    x = 6,662,195,941,129/1,678,274
  6. Step 6: Final answer
    x = 3,969,671.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.