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Finding the Third Proportional to 682,116 and 1,032,690

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Solution

The third proportional to 682,116 and 1,032,690 is: 1,563,441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,116 : 1,032,690 = 1,032,690 : x
  2. Step 2: Convert to fraction form
    682,116/1,032,690 = 1,032,690/x
  3. Step 3: Cross multiply
    682,116x = 1,032,690 × 1,032,690
  4. Step 4: Simplify right side
    682,116x = 1,066,448,636,100
  5. Step 5: Solve for x
    x = 1,066,448,636,100/682,116
  6. Step 6: Final answer
    x = 1,563,441.75

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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.