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Finding the Third Proportional to 443,824 and 970,682

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Solution

The third proportional to 443,824 and 970,682 is: 2,122,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,824 : 970,682 = 970,682 : x
  2. Step 2: Convert to fraction form
    443,824/970,682 = 970,682/x
  3. Step 3: Cross multiply
    443,824x = 970,682 × 970,682
  4. Step 4: Simplify right side
    443,824x = 942,223,545,124
  5. Step 5: Solve for x
    x = 942,223,545,124/443,824
  6. Step 6: Final answer
    x = 2,122,966.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.