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Finding the Third Proportional to 819,106.88 and 1,282,133.06

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Solution

The third proportional to 819,106.88 and 1,282,133.06 is: 2,006,899.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,106.88 : 1,282,133.06 = 1,282,133.06 : x
  2. Step 2: Convert to fraction form
    819,106.88/1,282,133.06 = 1,282,133.06/x
  3. Step 3: Cross multiply
    819,106.88x = 1,282,133.06 × 1,282,133.06
  4. Step 4: Simplify right side
    819,106.88x = 1,643,865,189,955.63
  5. Step 5: Solve for x
    x = 1,643,865,189,955.63/819,106.88
  6. Step 6: Final answer
    x = 2,006,899.51

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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.