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Finding the Third Proportional to 445,848 and 961,356

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Solution

The third proportional to 445,848 and 961,356 is: 2,072,915.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,848 : 961,356 = 961,356 : x
  2. Step 2: Convert to fraction form
    445,848/961,356 = 961,356/x
  3. Step 3: Cross multiply
    445,848x = 961,356 × 961,356
  4. Step 4: Simplify right side
    445,848x = 924,205,358,736
  5. Step 5: Solve for x
    x = 924,205,358,736/445,848
  6. Step 6: Final answer
    x = 2,072,915.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.