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Finding the Third Proportional to 1,682,262.75 and 3,690,214.50

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Solution

The third proportional to 1,682,262.75 and 3,690,214.50 is: 8,094,860.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,262.75 : 3,690,214.50 = 3,690,214.50 : x
  2. Step 2: Convert to fraction form
    1,682,262.75/3,690,214.50 = 3,690,214.50/x
  3. Step 3: Cross multiply
    1,682,262.75x = 3,690,214.50 × 3,690,214.50
  4. Step 4: Simplify right side
    1,682,262.75x = 13,617,683,056,010.25
  5. Step 5: Solve for x
    x = 13,617,683,056,010.25/1,682,262.75
  6. Step 6: Final answer
    x = 8,094,860.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.