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Finding the Third Proportional to 840,168 and 1,275,786

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Solution

The third proportional to 840,168 and 1,275,786 is: 1,937,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,168 : 1,275,786 = 1,275,786 : x
  2. Step 2: Convert to fraction form
    840,168/1,275,786 = 1,275,786/x
  3. Step 3: Cross multiply
    840,168x = 1,275,786 × 1,275,786
  4. Step 4: Simplify right side
    840,168x = 1,627,629,917,796
  5. Step 5: Solve for x
    x = 1,627,629,917,796/840,168
  6. Step 6: Final answer
    x = 1,937,267.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.