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Finding the Third Proportional to 615,939.19 and 823,906.69

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Solution

The third proportional to 615,939.19 and 823,906.69 is: 1,102,092.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,939.19 : 823,906.69 = 823,906.69 : x
  2. Step 2: Convert to fraction form
    615,939.19/823,906.69 = 823,906.69/x
  3. Step 3: Cross multiply
    615,939.19x = 823,906.69 × 823,906.69
  4. Step 4: Simplify right side
    615,939.19x = 678,822,229,707.22
  5. Step 5: Solve for x
    x = 678,822,229,707.22/615,939.19
  6. Step 6: Final answer
    x = 1,102,092.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.