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Finding the Third Proportional to 590,367 and 1,266,738

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Solution

The third proportional to 590,367 and 1,266,738 is: 2,718,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,367 : 1,266,738 = 1,266,738 : x
  2. Step 2: Convert to fraction form
    590,367/1,266,738 = 1,266,738/x
  3. Step 3: Cross multiply
    590,367x = 1,266,738 × 1,266,738
  4. Step 4: Simplify right side
    590,367x = 1,604,625,160,644
  5. Step 5: Solve for x
    x = 1,604,625,160,644/590,367
  6. Step 6: Final answer
    x = 2,718,012.97

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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.