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Finding the Third Proportional to 832,178 and 1,790,758

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Solution

The third proportional to 832,178 and 1,790,758 is: 3,853,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,178 : 1,790,758 = 1,790,758 : x
  2. Step 2: Convert to fraction form
    832,178/1,790,758 = 1,790,758/x
  3. Step 3: Cross multiply
    832,178x = 1,790,758 × 1,790,758
  4. Step 4: Simplify right side
    832,178x = 3,206,814,214,564
  5. Step 5: Solve for x
    x = 3,206,814,214,564/832,178
  6. Step 6: Final answer
    x = 3,853,519.58

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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.