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Finding the Third Proportional to 990,176 and 2,165,824

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Solution

The third proportional to 990,176 and 2,165,824 is: 4,737,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    990,176 : 2,165,824 = 2,165,824 : x
  2. Step 2: Convert to fraction form
    990,176/2,165,824 = 2,165,824/x
  3. Step 3: Cross multiply
    990,176x = 2,165,824 × 2,165,824
  4. Step 4: Simplify right side
    990,176x = 4,690,793,598,976
  5. Step 5: Solve for x
    x = 4,690,793,598,976/990,176
  6. Step 6: Final answer
    x = 4,737,333.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.