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Finding the Third Proportional to 478,846 and 1,002,046

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Solution

The third proportional to 478,846 and 1,002,046 is: 2,096,908.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,846 : 1,002,046 = 1,002,046 : x
  2. Step 2: Convert to fraction form
    478,846/1,002,046 = 1,002,046/x
  3. Step 3: Cross multiply
    478,846x = 1,002,046 × 1,002,046
  4. Step 4: Simplify right side
    478,846x = 1,004,096,186,116
  5. Step 5: Solve for x
    x = 1,004,096,186,116/478,846
  6. Step 6: Final answer
    x = 2,096,908.37

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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.