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Finding the Third Proportional to 611,772 and 899,601

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Solution

The third proportional to 611,772 and 899,601 is: 1,322,848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,772 : 899,601 = 899,601 : x
  2. Step 2: Convert to fraction form
    611,772/899,601 = 899,601/x
  3. Step 3: Cross multiply
    611,772x = 899,601 × 899,601
  4. Step 4: Simplify right side
    611,772x = 809,281,959,201
  5. Step 5: Solve for x
    x = 809,281,959,201/611,772
  6. Step 6: Final answer
    x = 1,322,848.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.