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Finding the Third Proportional to 869,970 and 1,844,388

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Solution

The third proportional to 869,970 and 1,844,388 is: 3,910,211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,970 : 1,844,388 = 1,844,388 : x
  2. Step 2: Convert to fraction form
    869,970/1,844,388 = 1,844,388/x
  3. Step 3: Cross multiply
    869,970x = 1,844,388 × 1,844,388
  4. Step 4: Simplify right side
    869,970x = 3,401,767,094,544
  5. Step 5: Solve for x
    x = 3,401,767,094,544/869,970
  6. Step 6: Final answer
    x = 3,910,211.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.