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Finding the Third Proportional to 1,037,022 and 1,394,829

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Solution

The third proportional to 1,037,022 and 1,394,829 is: 1,876,091.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,022 : 1,394,829 = 1,394,829 : x
  2. Step 2: Convert to fraction form
    1,037,022/1,394,829 = 1,394,829/x
  3. Step 3: Cross multiply
    1,037,022x = 1,394,829 × 1,394,829
  4. Step 4: Simplify right side
    1,037,022x = 1,945,547,939,241
  5. Step 5: Solve for x
    x = 1,945,547,939,241/1,037,022
  6. Step 6: Final answer
    x = 1,876,091.29

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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.