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Finding the Third Proportional to 1,037,024 and 1,394,832

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Solution

The third proportional to 1,037,024 and 1,394,832 is: 1,876,095.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,024 : 1,394,832 = 1,394,832 : x
  2. Step 2: Convert to fraction form
    1,037,024/1,394,832 = 1,394,832/x
  3. Step 3: Cross multiply
    1,037,024x = 1,394,832 × 1,394,832
  4. Step 4: Simplify right side
    1,037,024x = 1,945,556,308,224
  5. Step 5: Solve for x
    x = 1,945,556,308,224/1,037,024
  6. Step 6: Final answer
    x = 1,876,095.74

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.