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Finding the Third Proportional to 701,871 and 1,057,795

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Solution

The third proportional to 701,871 and 1,057,795 is: 1,594,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,871 : 1,057,795 = 1,057,795 : x
  2. Step 2: Convert to fraction form
    701,871/1,057,795 = 1,057,795/x
  3. Step 3: Cross multiply
    701,871x = 1,057,795 × 1,057,795
  4. Step 4: Simplify right side
    701,871x = 1,118,930,262,025
  5. Step 5: Solve for x
    x = 1,118,930,262,025/701,871
  6. Step 6: Final answer
    x = 1,594,210.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.