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Finding the Third Proportional to 1,100,499.75 and 1,640,594.25

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Solution

The third proportional to 1,100,499.75 and 1,640,594.25 is: 2,445,752.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,499.75 : 1,640,594.25 = 1,640,594.25 : x
  2. Step 2: Convert to fraction form
    1,100,499.75/1,640,594.25 = 1,640,594.25/x
  3. Step 3: Cross multiply
    1,100,499.75x = 1,640,594.25 × 1,640,594.25
  4. Step 4: Simplify right side
    1,100,499.75x = 2,691,549,493,133.06
  5. Step 5: Solve for x
    x = 2,691,549,493,133.06/1,100,499.75
  6. Step 6: Final answer
    x = 2,445,752.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.