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Finding the Third Proportional to 439,956 and 963,972

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Solution

The third proportional to 439,956 and 963,972 is: 2,112,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,956 : 963,972 = 963,972 : x
  2. Step 2: Convert to fraction form
    439,956/963,972 = 963,972/x
  3. Step 3: Cross multiply
    439,956x = 963,972 × 963,972
  4. Step 4: Simplify right side
    439,956x = 929,242,016,784
  5. Step 5: Solve for x
    x = 929,242,016,784/439,956
  6. Step 6: Final answer
    x = 2,112,124.89

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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.