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Finding the Third Proportional to 408,636 and 866,416

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Solution

The third proportional to 408,636 and 866,416 is: 1,837,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,636 : 866,416 = 866,416 : x
  2. Step 2: Convert to fraction form
    408,636/866,416 = 866,416/x
  3. Step 3: Cross multiply
    408,636x = 866,416 × 866,416
  4. Step 4: Simplify right side
    408,636x = 750,676,685,056
  5. Step 5: Solve for x
    x = 750,676,685,056/408,636
  6. Step 6: Final answer
    x = 1,837,030.23

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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.