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Finding the Third Proportional to 445,888 and 970,504

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Solution

The third proportional to 445,888 and 970,504 is: 2,112,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,888 : 970,504 = 970,504 : x
  2. Step 2: Convert to fraction form
    445,888/970,504 = 970,504/x
  3. Step 3: Cross multiply
    445,888x = 970,504 × 970,504
  4. Step 4: Simplify right side
    445,888x = 941,878,014,016
  5. Step 5: Solve for x
    x = 941,878,014,016/445,888
  6. Step 6: Final answer
    x = 2,112,364.57

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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.