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Finding the Third Proportional to 944,799 and 1,434,695

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Solution

The third proportional to 944,799 and 1,434,695 is: 2,178,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,799 : 1,434,695 = 1,434,695 : x
  2. Step 2: Convert to fraction form
    944,799/1,434,695 = 1,434,695/x
  3. Step 3: Cross multiply
    944,799x = 1,434,695 × 1,434,695
  4. Step 4: Simplify right side
    944,799x = 2,058,349,743,025
  5. Step 5: Solve for x
    x = 2,058,349,743,025/944,799
  6. Step 6: Final answer
    x = 2,178,611.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.