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Finding the Third Proportional to 563,784 and 1,229,325

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Solution

The third proportional to 563,784 and 1,229,325 is: 2,680,530.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,784 : 1,229,325 = 1,229,325 : x
  2. Step 2: Convert to fraction form
    563,784/1,229,325 = 1,229,325/x
  3. Step 3: Cross multiply
    563,784x = 1,229,325 × 1,229,325
  4. Step 4: Simplify right side
    563,784x = 1,511,239,955,625
  5. Step 5: Solve for x
    x = 1,511,239,955,625/563,784
  6. Step 6: Final answer
    x = 2,680,530.05

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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.