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Finding the Third Proportional to 819,159.75 and 1,282,199.63

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Solution

The third proportional to 819,159.75 and 1,282,199.63 is: 2,006,978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,159.75 : 1,282,199.63 = 1,282,199.63 : x
  2. Step 2: Convert to fraction form
    819,159.75/1,282,199.63 = 1,282,199.63/x
  3. Step 3: Cross multiply
    819,159.75x = 1,282,199.63 × 1,282,199.63
  4. Step 4: Simplify right side
    819,159.75x = 1,644,035,878,350.14
  5. Step 5: Solve for x
    x = 1,644,035,878,350.14/819,159.75
  6. Step 6: Final answer
    x = 2,006,978.34

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.