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Finding the Third Proportional to 2,171,470 and 4,771,232

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Solution

The third proportional to 2,171,470 and 4,771,232 is: 10,483,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,470 : 4,771,232 = 4,771,232 : x
  2. Step 2: Convert to fraction form
    2,171,470/4,771,232 = 4,771,232/x
  3. Step 3: Cross multiply
    2,171,470x = 4,771,232 × 4,771,232
  4. Step 4: Simplify right side
    2,171,470x = 22,764,654,797,824
  5. Step 5: Solve for x
    x = 22,764,654,797,824/2,171,470
  6. Step 6: Final answer
    x = 10,483,522.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.