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Finding the Third Proportional to 815,632 and 1,199,648

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Solution

The third proportional to 815,632 and 1,199,648 is: 1,764,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,632 : 1,199,648 = 1,199,648 : x
  2. Step 2: Convert to fraction form
    815,632/1,199,648 = 1,199,648/x
  3. Step 3: Cross multiply
    815,632x = 1,199,648 × 1,199,648
  4. Step 4: Simplify right side
    815,632x = 1,439,155,323,904
  5. Step 5: Solve for x
    x = 1,439,155,323,904/815,632
  6. Step 6: Final answer
    x = 1,764,466.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.