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Finding the Third Proportional to 1,222,840 and 1,630,896

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Solution

The third proportional to 1,222,840 and 1,630,896 is: 2,175,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222,840 : 1,630,896 = 1,630,896 : x
  2. Step 2: Convert to fraction form
    1,222,840/1,630,896 = 1,630,896/x
  3. Step 3: Cross multiply
    1,222,840x = 1,630,896 × 1,630,896
  4. Step 4: Simplify right side
    1,222,840x = 2,659,821,762,816
  5. Step 5: Solve for x
    x = 2,659,821,762,816/1,222,840
  6. Step 6: Final answer
    x = 2,175,118.38

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.