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Finding the Third Proportional to 829,022 and 1,720,358

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Solution

The third proportional to 829,022 and 1,720,358 is: 3,570,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,022 : 1,720,358 = 1,720,358 : x
  2. Step 2: Convert to fraction form
    829,022/1,720,358 = 1,720,358/x
  3. Step 3: Cross multiply
    829,022x = 1,720,358 × 1,720,358
  4. Step 4: Simplify right side
    829,022x = 2,959,631,648,164
  5. Step 5: Solve for x
    x = 2,959,631,648,164/829,022
  6. Step 6: Final answer
    x = 3,570,027.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.