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Finding the Third Proportional to 393,604 and 826,863

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Solution

The third proportional to 393,604 and 826,863 is: 1,737,031.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,604 : 826,863 = 826,863 : x
  2. Step 2: Convert to fraction form
    393,604/826,863 = 826,863/x
  3. Step 3: Cross multiply
    393,604x = 826,863 × 826,863
  4. Step 4: Simplify right side
    393,604x = 683,702,420,769
  5. Step 5: Solve for x
    x = 683,702,420,769/393,604
  6. Step 6: Final answer
    x = 1,737,031.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.