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Finding the Third Proportional to 2,150,949 and 4,681,221

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Solution

The third proportional to 2,150,949 and 4,681,221 is: 10,187,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150,949 : 4,681,221 = 4,681,221 : x
  2. Step 2: Convert to fraction form
    2,150,949/4,681,221 = 4,681,221/x
  3. Step 3: Cross multiply
    2,150,949x = 4,681,221 × 4,681,221
  4. Step 4: Simplify right side
    2,150,949x = 21,913,830,050,841
  5. Step 5: Solve for x
    x = 21,913,830,050,841/2,150,949
  6. Step 6: Final answer
    x = 10,187,982.17

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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.