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Finding the Third Proportional to 890,406 and 1,980,150

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Solution

The third proportional to 890,406 and 1,980,150 is: 4,403,602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,406 : 1,980,150 = 1,980,150 : x
  2. Step 2: Convert to fraction form
    890,406/1,980,150 = 1,980,150/x
  3. Step 3: Cross multiply
    890,406x = 1,980,150 × 1,980,150
  4. Step 4: Simplify right side
    890,406x = 3,920,994,022,500
  5. Step 5: Solve for x
    x = 3,920,994,022,500/890,406
  6. Step 6: Final answer
    x = 4,403,602.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.