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Finding the Third Proportional to 1,680,752.25 and 3,618,652

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Solution

The third proportional to 1,680,752.25 and 3,618,652 is: 7,790,941.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,752.25 : 3,618,652 = 3,618,652 : x
  2. Step 2: Convert to fraction form
    1,680,752.25/3,618,652 = 3,618,652/x
  3. Step 3: Cross multiply
    1,680,752.25x = 3,618,652 × 3,618,652
  4. Step 4: Simplify right side
    1,680,752.25x = 13,094,642,297,104
  5. Step 5: Solve for x
    x = 13,094,642,297,104/1,680,752.25
  6. Step 6: Final answer
    x = 7,790,941.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.