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Finding the Third Proportional to 563,824 and 1,229,438

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Solution

The third proportional to 563,824 and 1,229,438 is: 2,680,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,824 : 1,229,438 = 1,229,438 : x
  2. Step 2: Convert to fraction form
    563,824/1,229,438 = 1,229,438/x
  3. Step 3: Cross multiply
    563,824x = 1,229,438 × 1,229,438
  4. Step 4: Simplify right side
    563,824x = 1,511,517,795,844
  5. Step 5: Solve for x
    x = 1,511,517,795,844/563,824
  6. Step 6: Final answer
    x = 2,680,832.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.