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Finding the Third Proportional to 2,283,522 and 4,973,874

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Solution

The third proportional to 2,283,522 and 4,973,874 is: 10,833,888.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283,522 : 4,973,874 = 4,973,874 : x
  2. Step 2: Convert to fraction form
    2,283,522/4,973,874 = 4,973,874/x
  3. Step 3: Cross multiply
    2,283,522x = 4,973,874 × 4,973,874
  4. Step 4: Simplify right side
    2,283,522x = 24,739,422,567,876
  5. Step 5: Solve for x
    x = 24,739,422,567,876/2,283,522
  6. Step 6: Final answer
    x = 10,833,888.43

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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.