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Finding the Third Proportional to 815,634 and 1,199,646

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Solution

The third proportional to 815,634 and 1,199,646 is: 1,764,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,634 : 1,199,646 = 1,199,646 : x
  2. Step 2: Convert to fraction form
    815,634/1,199,646 = 1,199,646/x
  3. Step 3: Cross multiply
    815,634x = 1,199,646 × 1,199,646
  4. Step 4: Simplify right side
    815,634x = 1,439,150,525,316
  5. Step 5: Solve for x
    x = 1,439,150,525,316/815,634
  6. Step 6: Final answer
    x = 1,764,456.27

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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.