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Finding the Third Proportional to 958,747 and 2,080,466

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Solution

The third proportional to 958,747 and 2,080,466 is: 4,514,578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    958,747 : 2,080,466 = 2,080,466 : x
  2. Step 2: Convert to fraction form
    958,747/2,080,466 = 2,080,466/x
  3. Step 3: Cross multiply
    958,747x = 2,080,466 × 2,080,466
  4. Step 4: Simplify right side
    958,747x = 4,328,338,777,156
  5. Step 5: Solve for x
    x = 4,328,338,777,156/958,747
  6. Step 6: Final answer
    x = 4,514,578.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.