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Finding the Third Proportional to 783,927 and 1,717,323.75

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Solution

The third proportional to 783,927 and 1,717,323.75 is: 3,762,086.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,927 : 1,717,323.75 = 1,717,323.75 : x
  2. Step 2: Convert to fraction form
    783,927/1,717,323.75 = 1,717,323.75/x
  3. Step 3: Cross multiply
    783,927x = 1,717,323.75 × 1,717,323.75
  4. Step 4: Simplify right side
    783,927x = 2,949,200,862,314.06
  5. Step 5: Solve for x
    x = 2,949,200,862,314.06/783,927
  6. Step 6: Final answer
    x = 3,762,086.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.