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Finding the Third Proportional to 829,159 and 1,798,285

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Solution

The third proportional to 829,159 and 1,798,285 is: 3,900,131.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,159 : 1,798,285 = 1,798,285 : x
  2. Step 2: Convert to fraction form
    829,159/1,798,285 = 1,798,285/x
  3. Step 3: Cross multiply
    829,159x = 1,798,285 × 1,798,285
  4. Step 4: Simplify right side
    829,159x = 3,233,828,941,225
  5. Step 5: Solve for x
    x = 3,233,828,941,225/829,159
  6. Step 6: Final answer
    x = 3,900,131.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.