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Finding the Third Proportional to 1,246,164 and 1,782,039

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Solution

The third proportional to 1,246,164 and 1,782,039 is: 2,548,350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246,164 : 1,782,039 = 1,782,039 : x
  2. Step 2: Convert to fraction form
    1,246,164/1,782,039 = 1,782,039/x
  3. Step 3: Cross multiply
    1,246,164x = 1,782,039 × 1,782,039
  4. Step 4: Simplify right side
    1,246,164x = 3,175,662,997,521
  5. Step 5: Solve for x
    x = 3,175,662,997,521/1,246,164
  6. Step 6: Final answer
    x = 2,548,350.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.