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Finding the Third Proportional to 850,416 and 1,836,115

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Solution

The third proportional to 850,416 and 1,836,115 is: 3,964,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,416 : 1,836,115 = 1,836,115 : x
  2. Step 2: Convert to fraction form
    850,416/1,836,115 = 1,836,115/x
  3. Step 3: Cross multiply
    850,416x = 1,836,115 × 1,836,115
  4. Step 4: Simplify right side
    850,416x = 3,371,318,293,225
  5. Step 5: Solve for x
    x = 3,371,318,293,225/850,416
  6. Step 6: Final answer
    x = 3,964,316.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.