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Finding the Third Proportional to 959,784 and 2,221,956

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Solution

The third proportional to 959,784 and 2,221,956 is: 5,143,957.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,784 : 2,221,956 = 2,221,956 : x
  2. Step 2: Convert to fraction form
    959,784/2,221,956 = 2,221,956/x
  3. Step 3: Cross multiply
    959,784x = 2,221,956 × 2,221,956
  4. Step 4: Simplify right side
    959,784x = 4,937,088,465,936
  5. Step 5: Solve for x
    x = 4,937,088,465,936/959,784
  6. Step 6: Final answer
    x = 5,143,957.88

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.