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Finding the Third Proportional to 402,378 and 870,093

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Solution

The third proportional to 402,378 and 870,093 is: 1,881,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,378 : 870,093 = 870,093 : x
  2. Step 2: Convert to fraction form
    402,378/870,093 = 870,093/x
  3. Step 3: Cross multiply
    402,378x = 870,093 × 870,093
  4. Step 4: Simplify right side
    402,378x = 757,061,828,649
  5. Step 5: Solve for x
    x = 757,061,828,649/402,378
  6. Step 6: Final answer
    x = 1,881,469.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.