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Finding the Third Proportional to 481,805 and 1,046,623

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Solution

The third proportional to 481,805 and 1,046,623 is: 2,273,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,805 : 1,046,623 = 1,046,623 : x
  2. Step 2: Convert to fraction form
    481,805/1,046,623 = 1,046,623/x
  3. Step 3: Cross multiply
    481,805x = 1,046,623 × 1,046,623
  4. Step 4: Simplify right side
    481,805x = 1,095,419,704,129
  5. Step 5: Solve for x
    x = 1,095,419,704,129/481,805
  6. Step 6: Final answer
    x = 2,273,574.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.