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Finding the Third Proportional to 1,781,014.50 and 4,199,967.75

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Solution

The third proportional to 1,781,014.50 and 4,199,967.75 is: 9,904,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781,014.50 : 4,199,967.75 = 4,199,967.75 : x
  2. Step 2: Convert to fraction form
    1,781,014.50/4,199,967.75 = 4,199,967.75/x
  3. Step 3: Cross multiply
    1,781,014.50x = 4,199,967.75 × 4,199,967.75
  4. Step 4: Simplify right side
    1,781,014.50x = 17,639,729,101,040.06
  5. Step 5: Solve for x
    x = 17,639,729,101,040.06/1,781,014.50
  6. Step 6: Final answer
    x = 9,904,315.27

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.