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Finding the Third Proportional to 1,102,100 and 1,702,259

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Solution

The third proportional to 1,102,100 and 1,702,259 is: 2,629,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,100 : 1,702,259 = 1,702,259 : x
  2. Step 2: Convert to fraction form
    1,102,100/1,702,259 = 1,702,259/x
  3. Step 3: Cross multiply
    1,102,100x = 1,702,259 × 1,702,259
  4. Step 4: Simplify right side
    1,102,100x = 2,897,685,703,081
  5. Step 5: Solve for x
    x = 2,897,685,703,081/1,102,100
  6. Step 6: Final answer
    x = 2,629,240.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.