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Finding the Third Proportional to 437,922 and 945,860

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Solution

The third proportional to 437,922 and 945,860 is: 2,042,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,922 : 945,860 = 945,860 : x
  2. Step 2: Convert to fraction form
    437,922/945,860 = 945,860/x
  3. Step 3: Cross multiply
    437,922x = 945,860 × 945,860
  4. Step 4: Simplify right side
    437,922x = 894,651,139,600
  5. Step 5: Solve for x
    x = 894,651,139,600/437,922
  6. Step 6: Final answer
    x = 2,042,946.32

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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.