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Finding the Third Proportional to 439,312 and 959,192

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Solution

The third proportional to 439,312 and 959,192 is: 2,094,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,312 : 959,192 = 959,192 : x
  2. Step 2: Convert to fraction form
    439,312/959,192 = 959,192/x
  3. Step 3: Cross multiply
    439,312x = 959,192 × 959,192
  4. Step 4: Simplify right side
    439,312x = 920,049,292,864
  5. Step 5: Solve for x
    x = 920,049,292,864/439,312
  6. Step 6: Final answer
    x = 2,094,295.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.