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Finding the Third Proportional to 1,283,019.75 and 2,983,341.38

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Solution

The third proportional to 1,283,019.75 and 2,983,341.38 is: 6,937,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,019.75 : 2,983,341.38 = 2,983,341.38 : x
  2. Step 2: Convert to fraction form
    1,283,019.75/2,983,341.38 = 2,983,341.38/x
  3. Step 3: Cross multiply
    1,283,019.75x = 2,983,341.38 × 2,983,341.38
  4. Step 4: Simplify right side
    1,283,019.75x = 8,900,325,759,786.89
  5. Step 5: Solve for x
    x = 8,900,325,759,786.89/1,283,019.75
  6. Step 6: Final answer
    x = 6,937,013.84

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.