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Finding the Third Proportional to 682,118 and 1,032,693

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Solution

The third proportional to 682,118 and 1,032,693 is: 1,563,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,118 : 1,032,693 = 1,032,693 : x
  2. Step 2: Convert to fraction form
    682,118/1,032,693 = 1,032,693/x
  3. Step 3: Cross multiply
    682,118x = 1,032,693 × 1,032,693
  4. Step 4: Simplify right side
    682,118x = 1,066,454,832,249
  5. Step 5: Solve for x
    x = 1,066,454,832,249/682,118
  6. Step 6: Final answer
    x = 1,563,446.25

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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.