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Finding the Third Proportional to 812,962 and 1,207,652

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Solution

The third proportional to 812,962 and 1,207,652 is: 1,793,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,962 : 1,207,652 = 1,207,652 : x
  2. Step 2: Convert to fraction form
    812,962/1,207,652 = 1,207,652/x
  3. Step 3: Cross multiply
    812,962x = 1,207,652 × 1,207,652
  4. Step 4: Simplify right side
    812,962x = 1,458,423,353,104
  5. Step 5: Solve for x
    x = 1,458,423,353,104/812,962
  6. Step 6: Final answer
    x = 1,793,962.51

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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.