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Finding the Third Proportional to 478,850 and 1,002,055

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Solution

The third proportional to 478,850 and 1,002,055 is: 2,096,928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,850 : 1,002,055 = 1,002,055 : x
  2. Step 2: Convert to fraction form
    478,850/1,002,055 = 1,002,055/x
  3. Step 3: Cross multiply
    478,850x = 1,002,055 × 1,002,055
  4. Step 4: Simplify right side
    478,850x = 1,004,114,223,025
  5. Step 5: Solve for x
    x = 1,004,114,223,025/478,850
  6. Step 6: Final answer
    x = 2,096,928.52

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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.