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Finding the Third Proportional to 1,257,122 and 1,946,150

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Solution

The third proportional to 1,257,122 and 1,946,150 is: 3,012,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,122 : 1,946,150 = 1,946,150 : x
  2. Step 2: Convert to fraction form
    1,257,122/1,946,150 = 1,946,150/x
  3. Step 3: Cross multiply
    1,257,122x = 1,946,150 × 1,946,150
  4. Step 4: Simplify right side
    1,257,122x = 3,787,499,822,500
  5. Step 5: Solve for x
    x = 3,787,499,822,500/1,257,122
  6. Step 6: Final answer
    x = 3,012,833.94

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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.