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Finding the Third Proportional to 1,276,786 and 1,930,407

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Solution

The third proportional to 1,276,786 and 1,930,407 is: 2,918,634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276,786 : 1,930,407 = 1,930,407 : x
  2. Step 2: Convert to fraction form
    1,276,786/1,930,407 = 1,930,407/x
  3. Step 3: Cross multiply
    1,276,786x = 1,930,407 × 1,930,407
  4. Step 4: Simplify right side
    1,276,786x = 3,726,471,185,649
  5. Step 5: Solve for x
    x = 3,726,471,185,649/1,276,786
  6. Step 6: Final answer
    x = 2,918,634.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.