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Finding the Third Proportional to 836,532 and 1,262,592

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Solution

The third proportional to 836,532 and 1,262,592 is: 1,905,651.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,532 : 1,262,592 = 1,262,592 : x
  2. Step 2: Convert to fraction form
    836,532/1,262,592 = 1,262,592/x
  3. Step 3: Cross multiply
    836,532x = 1,262,592 × 1,262,592
  4. Step 4: Simplify right side
    836,532x = 1,594,138,558,464
  5. Step 5: Solve for x
    x = 1,594,138,558,464/836,532
  6. Step 6: Final answer
    x = 1,905,651.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.