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Finding the Third Proportional to 798,204.38 and 1,205,604

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Solution

The third proportional to 798,204.38 and 1,205,604 is: 1,820,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,204.38 : 1,205,604 = 1,205,604 : x
  2. Step 2: Convert to fraction form
    798,204.38/1,205,604 = 1,205,604/x
  3. Step 3: Cross multiply
    798,204.38x = 1,205,604 × 1,205,604
  4. Step 4: Simplify right side
    798,204.38x = 1,453,481,004,816
  5. Step 5: Solve for x
    x = 1,453,481,004,816/798,204.38
  6. Step 6: Final answer
    x = 1,820,938.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.