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Finding the Third Proportional to 481,851 and 1,036,369

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Solution

The third proportional to 481,851 and 1,036,369 is: 2,229,030.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,851 : 1,036,369 = 1,036,369 : x
  2. Step 2: Convert to fraction form
    481,851/1,036,369 = 1,036,369/x
  3. Step 3: Cross multiply
    481,851x = 1,036,369 × 1,036,369
  4. Step 4: Simplify right side
    481,851x = 1,074,060,704,161
  5. Step 5: Solve for x
    x = 1,074,060,704,161/481,851
  6. Step 6: Final answer
    x = 2,229,030.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.