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Finding the Third Proportional to 414,666 and 908,190

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Solution

The third proportional to 414,666 and 908,190 is: 1,989,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,666 : 908,190 = 908,190 : x
  2. Step 2: Convert to fraction form
    414,666/908,190 = 908,190/x
  3. Step 3: Cross multiply
    414,666x = 908,190 × 908,190
  4. Step 4: Simplify right side
    414,666x = 824,809,076,100
  5. Step 5: Solve for x
    x = 824,809,076,100/414,666
  6. Step 6: Final answer
    x = 1,989,092.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.