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Finding the Third Proportional to 1,276,951 and 1,904,351

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Solution

The third proportional to 1,276,951 and 1,904,351 is: 2,840,009.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276,951 : 1,904,351 = 1,904,351 : x
  2. Step 2: Convert to fraction form
    1,276,951/1,904,351 = 1,904,351/x
  3. Step 3: Cross multiply
    1,276,951x = 1,904,351 × 1,904,351
  4. Step 4: Simplify right side
    1,276,951x = 3,626,552,731,201
  5. Step 5: Solve for x
    x = 3,626,552,731,201/1,276,951
  6. Step 6: Final answer
    x = 2,840,009.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.