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Finding the Third Proportional to 408,638 and 866,420

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Solution

The third proportional to 408,638 and 866,420 is: 1,837,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,638 : 866,420 = 866,420 : x
  2. Step 2: Convert to fraction form
    408,638/866,420 = 866,420/x
  3. Step 3: Cross multiply
    408,638x = 866,420 × 866,420
  4. Step 4: Simplify right side
    408,638x = 750,683,616,400
  5. Step 5: Solve for x
    x = 750,683,616,400/408,638
  6. Step 6: Final answer
    x = 1,837,038.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.