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Finding the Third Proportional to 1,257,135 and 1,946,169

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Solution

The third proportional to 1,257,135 and 1,946,169 is: 3,012,861.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,135 : 1,946,169 = 1,946,169 : x
  2. Step 2: Convert to fraction form
    1,257,135/1,946,169 = 1,946,169/x
  3. Step 3: Cross multiply
    1,257,135x = 1,946,169 × 1,946,169
  4. Step 4: Simplify right side
    1,257,135x = 3,787,573,776,561
  5. Step 5: Solve for x
    x = 3,787,573,776,561/1,257,135
  6. Step 6: Final answer
    x = 3,012,861.61

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Why These Related Problems?

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