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Finding the Third Proportional to 2,584,694 and 5,639,392

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Solution

The third proportional to 2,584,694 and 5,639,392 is: 12,304,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584,694 : 5,639,392 = 5,639,392 : x
  2. Step 2: Convert to fraction form
    2,584,694/5,639,392 = 5,639,392/x
  3. Step 3: Cross multiply
    2,584,694x = 5,639,392 × 5,639,392
  4. Step 4: Simplify right side
    2,584,694x = 31,802,742,129,664
  5. Step 5: Solve for x
    x = 31,802,742,129,664/2,584,694
  6. Step 6: Final answer
    x = 12,304,258.12

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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.