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Finding the Third Proportional to 481,410 and 1,016,539

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Solution

The third proportional to 481,410 and 1,016,539 is: 2,146,510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,410 : 1,016,539 = 1,016,539 : x
  2. Step 2: Convert to fraction form
    481,410/1,016,539 = 1,016,539/x
  3. Step 3: Cross multiply
    481,410x = 1,016,539 × 1,016,539
  4. Step 4: Simplify right side
    481,410x = 1,033,351,538,521
  5. Step 5: Solve for x
    x = 1,033,351,538,521/481,410
  6. Step 6: Final answer
    x = 2,146,510.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.