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Finding the Third Proportional to 562,223 and 894,172

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Solution

The third proportional to 562,223 and 894,172 is: 1,422,111.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,223 : 894,172 = 894,172 : x
  2. Step 2: Convert to fraction form
    562,223/894,172 = 894,172/x
  3. Step 3: Cross multiply
    562,223x = 894,172 × 894,172
  4. Step 4: Simplify right side
    562,223x = 799,543,565,584
  5. Step 5: Solve for x
    x = 799,543,565,584/562,223
  6. Step 6: Final answer
    x = 1,422,111.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.