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Finding the Third Proportional to 445,128 and 943,230

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Solution

The third proportional to 445,128 and 943,230 is: 1,998,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,128 : 943,230 = 943,230 : x
  2. Step 2: Convert to fraction form
    445,128/943,230 = 943,230/x
  3. Step 3: Cross multiply
    445,128x = 943,230 × 943,230
  4. Step 4: Simplify right side
    445,128x = 889,682,832,900
  5. Step 5: Solve for x
    x = 889,682,832,900/445,128
  6. Step 6: Final answer
    x = 1,998,712.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.