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Finding the Third Proportional to 832,040 and 1,622,608

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Solution

The third proportional to 832,040 and 1,622,608 is: 3,164,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,040 : 1,622,608 = 1,622,608 : x
  2. Step 2: Convert to fraction form
    832,040/1,622,608 = 1,622,608/x
  3. Step 3: Cross multiply
    832,040x = 1,622,608 × 1,622,608
  4. Step 4: Simplify right side
    832,040x = 2,632,856,721,664
  5. Step 5: Solve for x
    x = 2,632,856,721,664/832,040
  6. Step 6: Final answer
    x = 3,164,339.12

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.