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Finding the Third Proportional to 1,397,265.19 and 1,977,093.56

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Solution

The third proportional to 1,397,265.19 and 1,977,093.56 is: 2,797,535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,265.19 : 1,977,093.56 = 1,977,093.56 : x
  2. Step 2: Convert to fraction form
    1,397,265.19/1,977,093.56 = 1,977,093.56/x
  3. Step 3: Cross multiply
    1,397,265.19x = 1,977,093.56 × 1,977,093.56
  4. Step 4: Simplify right side
    1,397,265.19x = 3,908,898,954,878.94
  5. Step 5: Solve for x
    x = 3,908,898,954,878.94/1,397,265.19
  6. Step 6: Final answer
    x = 2,797,535.49

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.