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Finding the Third Proportional to 414,294 and 907,635

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Solution

The third proportional to 414,294 and 907,635 is: 1,988,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,294 : 907,635 = 907,635 : x
  2. Step 2: Convert to fraction form
    414,294/907,635 = 907,635/x
  3. Step 3: Cross multiply
    414,294x = 907,635 × 907,635
  4. Step 4: Simplify right side
    414,294x = 823,801,293,225
  5. Step 5: Solve for x
    x = 823,801,293,225/414,294
  6. Step 6: Final answer
    x = 1,988,446.11

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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.