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Finding the Third Proportional to 481,594 and 1,054,538

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Solution

The third proportional to 481,594 and 1,054,538 is: 2,309,103.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,594 : 1,054,538 = 1,054,538 : x
  2. Step 2: Convert to fraction form
    481,594/1,054,538 = 1,054,538/x
  3. Step 3: Cross multiply
    481,594x = 1,054,538 × 1,054,538
  4. Step 4: Simplify right side
    481,594x = 1,112,050,393,444
  5. Step 5: Solve for x
    x = 1,112,050,393,444/481,594
  6. Step 6: Final answer
    x = 2,309,103.51

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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.