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Finding the Third Proportional to 2,138,013 and 4,610,214

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Solution

The third proportional to 2,138,013 and 4,610,214 is: 9,941,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,013 : 4,610,214 = 4,610,214 : x
  2. Step 2: Convert to fraction form
    2,138,013/4,610,214 = 4,610,214/x
  3. Step 3: Cross multiply
    2,138,013x = 4,610,214 × 4,610,214
  4. Step 4: Simplify right side
    2,138,013x = 21,254,073,125,796
  5. Step 5: Solve for x
    x = 21,254,073,125,796/2,138,013
  6. Step 6: Final answer
    x = 9,941,040.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.