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Finding the Third Proportional to 740,263 and 1,115,858

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Solution

The third proportional to 740,263 and 1,115,858 is: 1,682,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,263 : 1,115,858 = 1,115,858 : x
  2. Step 2: Convert to fraction form
    740,263/1,115,858 = 1,115,858/x
  3. Step 3: Cross multiply
    740,263x = 1,115,858 × 1,115,858
  4. Step 4: Simplify right side
    740,263x = 1,245,139,076,164
  5. Step 5: Solve for x
    x = 1,245,139,076,164/740,263
  6. Step 6: Final answer
    x = 1,682,022.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.