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Finding the Third Proportional to 409,094 and 894,748

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Solution

The third proportional to 409,094 and 894,748 is: 1,956,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,094 : 894,748 = 894,748 : x
  2. Step 2: Convert to fraction form
    409,094/894,748 = 894,748/x
  3. Step 3: Cross multiply
    409,094x = 894,748 × 894,748
  4. Step 4: Simplify right side
    409,094x = 800,573,983,504
  5. Step 5: Solve for x
    x = 800,573,983,504/409,094
  6. Step 6: Final answer
    x = 1,956,943.84

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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.