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Finding the Third Proportional to 2,138,302 and 4,653,036

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Solution

The third proportional to 2,138,302 and 4,653,036 is: 10,125,204.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,302 : 4,653,036 = 4,653,036 : x
  2. Step 2: Convert to fraction form
    2,138,302/4,653,036 = 4,653,036/x
  3. Step 3: Cross multiply
    2,138,302x = 4,653,036 × 4,653,036
  4. Step 4: Simplify right side
    2,138,302x = 21,650,744,017,296
  5. Step 5: Solve for x
    x = 21,650,744,017,296/2,138,302
  6. Step 6: Final answer
    x = 10,125,204.03

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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.