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Finding the Third Proportional to 478,845 and 1,002,045

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Solution

The third proportional to 478,845 and 1,002,045 is: 2,096,908.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,845 : 1,002,045 = 1,002,045 : x
  2. Step 2: Convert to fraction form
    478,845/1,002,045 = 1,002,045/x
  3. Step 3: Cross multiply
    478,845x = 1,002,045 × 1,002,045
  4. Step 4: Simplify right side
    478,845x = 1,004,094,182,025
  5. Step 5: Solve for x
    x = 1,004,094,182,025/478,845
  6. Step 6: Final answer
    x = 2,096,908.57

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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.