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Finding the Third Proportional to 896,311 and 2,099,715

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Solution

The third proportional to 896,311 and 2,099,715 is: 4,918,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,311 : 2,099,715 = 2,099,715 : x
  2. Step 2: Convert to fraction form
    896,311/2,099,715 = 2,099,715/x
  3. Step 3: Cross multiply
    896,311x = 2,099,715 × 2,099,715
  4. Step 4: Simplify right side
    896,311x = 4,408,803,081,225
  5. Step 5: Solve for x
    x = 4,408,803,081,225/896,311
  6. Step 6: Final answer
    x = 4,918,831.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.