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Finding the Third Proportional to 1,092,604 and 1,654,144

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Solution

The third proportional to 1,092,604 and 1,654,144 is: 2,504,285.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,604 : 1,654,144 = 1,654,144 : x
  2. Step 2: Convert to fraction form
    1,092,604/1,654,144 = 1,654,144/x
  3. Step 3: Cross multiply
    1,092,604x = 1,654,144 × 1,654,144
  4. Step 4: Simplify right side
    1,092,604x = 2,736,192,372,736
  5. Step 5: Solve for x
    x = 2,736,192,372,736/1,092,604
  6. Step 6: Final answer
    x = 2,504,285.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.