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Finding the Third Proportional to 832,722 and 1,791,742

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Solution

The third proportional to 832,722 and 1,791,742 is: 3,855,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,722 : 1,791,742 = 1,791,742 : x
  2. Step 2: Convert to fraction form
    832,722/1,791,742 = 1,791,742/x
  3. Step 3: Cross multiply
    832,722x = 1,791,742 × 1,791,742
  4. Step 4: Simplify right side
    832,722x = 3,210,339,394,564
  5. Step 5: Solve for x
    x = 3,210,339,394,564/832,722
  6. Step 6: Final answer
    x = 3,855,235.47

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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.