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Finding the Third Proportional to 1,241,543 and 1,898,414

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Solution

The third proportional to 1,241,543 and 1,898,414 is: 2,902,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,543 : 1,898,414 = 1,898,414 : x
  2. Step 2: Convert to fraction form
    1,241,543/1,898,414 = 1,898,414/x
  3. Step 3: Cross multiply
    1,241,543x = 1,898,414 × 1,898,414
  4. Step 4: Simplify right side
    1,241,543x = 3,603,975,715,396
  5. Step 5: Solve for x
    x = 3,603,975,715,396/1,241,543
  6. Step 6: Final answer
    x = 2,902,819.89

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.