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Finding the Third Proportional to 462,282 and 994,548

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Solution

The third proportional to 462,282 and 994,548 is: 2,139,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,282 : 994,548 = 994,548 : x
  2. Step 2: Convert to fraction form
    462,282/994,548 = 994,548/x
  3. Step 3: Cross multiply
    462,282x = 994,548 × 994,548
  4. Step 4: Simplify right side
    462,282x = 989,125,724,304
  5. Step 5: Solve for x
    x = 989,125,724,304/462,282
  6. Step 6: Final answer
    x = 2,139,658.75

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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.