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Finding the Third Proportional to 457,805 and 996,952

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Solution

The third proportional to 457,805 and 996,952 is: 2,171,040.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,805 : 996,952 = 996,952 : x
  2. Step 2: Convert to fraction form
    457,805/996,952 = 996,952/x
  3. Step 3: Cross multiply
    457,805x = 996,952 × 996,952
  4. Step 4: Simplify right side
    457,805x = 993,913,290,304
  5. Step 5: Solve for x
    x = 993,913,290,304/457,805
  6. Step 6: Final answer
    x = 2,171,040.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.