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Finding the Third Proportional to 445,326 and 970,576

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Solution

The third proportional to 445,326 and 970,576 is: 2,115,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,326 : 970,576 = 970,576 : x
  2. Step 2: Convert to fraction form
    445,326/970,576 = 970,576/x
  3. Step 3: Cross multiply
    445,326x = 970,576 × 970,576
  4. Step 4: Simplify right side
    445,326x = 942,017,771,776
  5. Step 5: Solve for x
    x = 942,017,771,776/445,326
  6. Step 6: Final answer
    x = 2,115,344.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.