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Finding the Third Proportional to 685,192 and 1,475,369

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Solution

The third proportional to 685,192 and 1,475,369 is: 3,176,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,192 : 1,475,369 = 1,475,369 : x
  2. Step 2: Convert to fraction form
    685,192/1,475,369 = 1,475,369/x
  3. Step 3: Cross multiply
    685,192x = 1,475,369 × 1,475,369
  4. Step 4: Simplify right side
    685,192x = 2,176,713,686,161
  5. Step 5: Solve for x
    x = 2,176,713,686,161/685,192
  6. Step 6: Final answer
    x = 3,176,793.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.