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Finding the Third Proportional to 398,937 and 853,910

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Solution

The third proportional to 398,937 and 853,910 is: 1,827,763.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,937 : 853,910 = 853,910 : x
  2. Step 2: Convert to fraction form
    398,937/853,910 = 853,910/x
  3. Step 3: Cross multiply
    398,937x = 853,910 × 853,910
  4. Step 4: Simplify right side
    398,937x = 729,162,288,100
  5. Step 5: Solve for x
    x = 729,162,288,100/398,937
  6. Step 6: Final answer
    x = 1,827,763.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.