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Finding the Third Proportional to 383,906 and 896,855

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Solution

The third proportional to 383,906 and 896,855 is: 2,095,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,906 : 896,855 = 896,855 : x
  2. Step 2: Convert to fraction form
    383,906/896,855 = 896,855/x
  3. Step 3: Cross multiply
    383,906x = 896,855 × 896,855
  4. Step 4: Simplify right side
    383,906x = 804,348,891,025
  5. Step 5: Solve for x
    x = 804,348,891,025/383,906
  6. Step 6: Final answer
    x = 2,095,171.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.