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Finding the Third Proportional to 1,273,210 and 1,730,193

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Solution

The third proportional to 1,273,210 and 1,730,193 is: 2,351,197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273,210 : 1,730,193 = 1,730,193 : x
  2. Step 2: Convert to fraction form
    1,273,210/1,730,193 = 1,730,193/x
  3. Step 3: Cross multiply
    1,273,210x = 1,730,193 × 1,730,193
  4. Step 4: Simplify right side
    1,273,210x = 2,993,567,817,249
  5. Step 5: Solve for x
    x = 2,993,567,817,249/1,273,210
  6. Step 6: Final answer
    x = 2,351,197.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.