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Finding the Third Proportional to 478,850 and 1,002,054

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Solution

The third proportional to 478,850 and 1,002,054 is: 2,096,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,850 : 1,002,054 = 1,002,054 : x
  2. Step 2: Convert to fraction form
    478,850/1,002,054 = 1,002,054/x
  3. Step 3: Cross multiply
    478,850x = 1,002,054 × 1,002,054
  4. Step 4: Simplify right side
    478,850x = 1,004,112,218,916
  5. Step 5: Solve for x
    x = 1,004,112,218,916/478,850
  6. Step 6: Final answer
    x = 2,096,924.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.