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Finding the Third Proportional to 812,829 and 1,207,467

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Solution

The third proportional to 812,829 and 1,207,467 is: 1,793,706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,829 : 1,207,467 = 1,207,467 : x
  2. Step 2: Convert to fraction form
    812,829/1,207,467 = 1,207,467/x
  3. Step 3: Cross multiply
    812,829x = 1,207,467 × 1,207,467
  4. Step 4: Simplify right side
    812,829x = 1,457,976,556,089
  5. Step 5: Solve for x
    x = 1,457,976,556,089/812,829
  6. Step 6: Final answer
    x = 1,793,706.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.