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Finding the Third Proportional to 1,582,338 and 2,451,692.25

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Solution

The third proportional to 1,582,338 and 2,451,692.25 is: 3,798,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,338 : 2,451,692.25 = 2,451,692.25 : x
  2. Step 2: Convert to fraction form
    1,582,338/2,451,692.25 = 2,451,692.25/x
  3. Step 3: Cross multiply
    1,582,338x = 2,451,692.25 × 2,451,692.25
  4. Step 4: Simplify right side
    1,582,338x = 6,010,794,888,710.06
  5. Step 5: Solve for x
    x = 6,010,794,888,710.06/1,582,338
  6. Step 6: Final answer
    x = 3,798,679.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.