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Finding the Third Proportional to 1,271,646 and 1,782,207

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Solution

The third proportional to 1,271,646 and 1,782,207 is: 2,497,756.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,646 : 1,782,207 = 1,782,207 : x
  2. Step 2: Convert to fraction form
    1,271,646/1,782,207 = 1,782,207/x
  3. Step 3: Cross multiply
    1,271,646x = 1,782,207 × 1,782,207
  4. Step 4: Simplify right side
    1,271,646x = 3,176,261,790,849
  5. Step 5: Solve for x
    x = 3,176,261,790,849/1,271,646
  6. Step 6: Final answer
    x = 2,497,756.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.