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Finding the Third Proportional to 482,031 and 986,175

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Solution

The third proportional to 482,031 and 986,175 is: 2,017,590.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,031 : 986,175 = 986,175 : x
  2. Step 2: Convert to fraction form
    482,031/986,175 = 986,175/x
  3. Step 3: Cross multiply
    482,031x = 986,175 × 986,175
  4. Step 4: Simplify right side
    482,031x = 972,541,130,625
  5. Step 5: Solve for x
    x = 972,541,130,625/482,031
  6. Step 6: Final answer
    x = 2,017,590.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.