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Finding the Third Proportional to 950,640 and 2,113,797

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Solution

The third proportional to 950,640 and 2,113,797 is: 4,700,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,640 : 2,113,797 = 2,113,797 : x
  2. Step 2: Convert to fraction form
    950,640/2,113,797 = 2,113,797/x
  3. Step 3: Cross multiply
    950,640x = 2,113,797 × 2,113,797
  4. Step 4: Simplify right side
    950,640x = 4,468,137,757,209
  5. Step 5: Solve for x
    x = 4,468,137,757,209/950,640
  6. Step 6: Final answer
    x = 4,700,136.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.