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Finding the Third Proportional to 414,294 and 907,632

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Solution

The third proportional to 414,294 and 907,632 is: 1,988,432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,294 : 907,632 = 907,632 : x
  2. Step 2: Convert to fraction form
    414,294/907,632 = 907,632/x
  3. Step 3: Cross multiply
    414,294x = 907,632 × 907,632
  4. Step 4: Simplify right side
    414,294x = 823,795,847,424
  5. Step 5: Solve for x
    x = 823,795,847,424/414,294
  6. Step 6: Final answer
    x = 1,988,432.97

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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.