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Finding the Third Proportional to 443,540 and 950,584

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Solution

The third proportional to 443,540 and 950,584 is: 2,037,268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,540 : 950,584 = 950,584 : x
  2. Step 2: Convert to fraction form
    443,540/950,584 = 950,584/x
  3. Step 3: Cross multiply
    443,540x = 950,584 × 950,584
  4. Step 4: Simplify right side
    443,540x = 903,609,941,056
  5. Step 5: Solve for x
    x = 903,609,941,056/443,540
  6. Step 6: Final answer
    x = 2,037,268.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.