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Finding the Third Proportional to 445,455 and 959,841

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Solution

The third proportional to 445,455 and 959,841 is: 2,068,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,455 : 959,841 = 959,841 : x
  2. Step 2: Convert to fraction form
    445,455/959,841 = 959,841/x
  3. Step 3: Cross multiply
    445,455x = 959,841 × 959,841
  4. Step 4: Simplify right side
    445,455x = 921,294,745,281
  5. Step 5: Solve for x
    x = 921,294,745,281/445,455
  6. Step 6: Final answer
    x = 2,068,210.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.