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Finding the Third Proportional to 1,100,196 and 1,750,635

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Solution

The third proportional to 1,100,196 and 1,750,635 is: 2,785,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,196 : 1,750,635 = 1,750,635 : x
  2. Step 2: Convert to fraction form
    1,100,196/1,750,635 = 1,750,635/x
  3. Step 3: Cross multiply
    1,100,196x = 1,750,635 × 1,750,635
  4. Step 4: Simplify right side
    1,100,196x = 3,064,722,903,225
  5. Step 5: Solve for x
    x = 3,064,722,903,225/1,100,196
  6. Step 6: Final answer
    x = 2,785,615.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.