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Finding the Third Proportional to 819,642 and 1,265,816

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Solution

The third proportional to 819,642 and 1,265,816 is: 1,954,865.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,642 : 1,265,816 = 1,265,816 : x
  2. Step 2: Convert to fraction form
    819,642/1,265,816 = 1,265,816/x
  3. Step 3: Cross multiply
    819,642x = 1,265,816 × 1,265,816
  4. Step 4: Simplify right side
    819,642x = 1,602,290,145,856
  5. Step 5: Solve for x
    x = 1,602,290,145,856/819,642
  6. Step 6: Final answer
    x = 1,954,865.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.