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Finding the Third Proportional to 671,463 and 1,041,231

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Solution

The third proportional to 671,463 and 1,041,231 is: 1,614,626.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,463 : 1,041,231 = 1,041,231 : x
  2. Step 2: Convert to fraction form
    671,463/1,041,231 = 1,041,231/x
  3. Step 3: Cross multiply
    671,463x = 1,041,231 × 1,041,231
  4. Step 4: Simplify right side
    671,463x = 1,084,161,995,361
  5. Step 5: Solve for x
    x = 1,084,161,995,361/671,463
  6. Step 6: Final answer
    x = 1,614,626.56

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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.