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Finding the Third Proportional to 1,396,457 and 2,135,267

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Solution

The third proportional to 1,396,457 and 2,135,267 is: 3,264,952.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396,457 : 2,135,267 = 2,135,267 : x
  2. Step 2: Convert to fraction form
    1,396,457/2,135,267 = 2,135,267/x
  3. Step 3: Cross multiply
    1,396,457x = 2,135,267 × 2,135,267
  4. Step 4: Simplify right side
    1,396,457x = 4,559,365,161,289
  5. Step 5: Solve for x
    x = 4,559,365,161,289/1,396,457
  6. Step 6: Final answer
    x = 3,264,952.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.