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Finding the Third Proportional to 1,228,646 and 1,860,142

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Solution

The third proportional to 1,228,646 and 1,860,142 is: 2,816,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,646 : 1,860,142 = 1,860,142 : x
  2. Step 2: Convert to fraction form
    1,228,646/1,860,142 = 1,860,142/x
  3. Step 3: Cross multiply
    1,228,646x = 1,860,142 × 1,860,142
  4. Step 4: Simplify right side
    1,228,646x = 3,460,128,260,164
  5. Step 5: Solve for x
    x = 3,460,128,260,164/1,228,646
  6. Step 6: Final answer
    x = 2,816,212.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.