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Finding the Third Proportional to 1,858,448.25 and 2,617,143.75

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Solution

The third proportional to 1,858,448.25 and 2,617,143.75 is: 3,685,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858,448.25 : 2,617,143.75 = 2,617,143.75 : x
  2. Step 2: Convert to fraction form
    1,858,448.25/2,617,143.75 = 2,617,143.75/x
  3. Step 3: Cross multiply
    1,858,448.25x = 2,617,143.75 × 2,617,143.75
  4. Step 4: Simplify right side
    1,858,448.25x = 6,849,441,408,164.06
  5. Step 5: Solve for x
    x = 6,849,441,408,164.06/1,858,448.25
  6. Step 6: Final answer
    x = 3,685,570.16

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.