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Finding the Third Proportional to 1,355,214 and 1,981,953

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Solution

The third proportional to 1,355,214 and 1,981,953 is: 2,898,536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355,214 : 1,981,953 = 1,981,953 : x
  2. Step 2: Convert to fraction form
    1,355,214/1,981,953 = 1,981,953/x
  3. Step 3: Cross multiply
    1,355,214x = 1,981,953 × 1,981,953
  4. Step 4: Simplify right side
    1,355,214x = 3,928,137,694,209
  5. Step 5: Solve for x
    x = 3,928,137,694,209/1,355,214
  6. Step 6: Final answer
    x = 2,898,536.83

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.