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Finding the Third Proportional to 456,648 and 990,384

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Solution

The third proportional to 456,648 and 990,384 is: 2,147,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,648 : 990,384 = 990,384 : x
  2. Step 2: Convert to fraction form
    456,648/990,384 = 990,384/x
  3. Step 3: Cross multiply
    456,648x = 990,384 × 990,384
  4. Step 4: Simplify right side
    456,648x = 980,860,467,456
  5. Step 5: Solve for x
    x = 980,860,467,456/456,648
  6. Step 6: Final answer
    x = 2,147,957.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.