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Finding the Third Proportional to 417,430 and 888,842

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Solution

The third proportional to 417,430 and 888,842 is: 1,892,628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,430 : 888,842 = 888,842 : x
  2. Step 2: Convert to fraction form
    417,430/888,842 = 888,842/x
  3. Step 3: Cross multiply
    417,430x = 888,842 × 888,842
  4. Step 4: Simplify right side
    417,430x = 790,040,100,964
  5. Step 5: Solve for x
    x = 790,040,100,964/417,430
  6. Step 6: Final answer
    x = 1,892,628.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.