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Finding the Third Proportional to 1,347,897 and 2,942,790

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Solution

The third proportional to 1,347,897 and 2,942,790 is: 6,424,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,897 : 2,942,790 = 2,942,790 : x
  2. Step 2: Convert to fraction form
    1,347,897/2,942,790 = 2,942,790/x
  3. Step 3: Cross multiply
    1,347,897x = 2,942,790 × 2,942,790
  4. Step 4: Simplify right side
    1,347,897x = 8,660,012,984,100
  5. Step 5: Solve for x
    x = 8,660,012,984,100/1,347,897
  6. Step 6: Final answer
    x = 6,424,832.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.