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Finding the Third Proportional to 812,876 and 1,265,842

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Solution

The third proportional to 812,876 and 1,265,842 is: 1,971,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,876 : 1,265,842 = 1,265,842 : x
  2. Step 2: Convert to fraction form
    812,876/1,265,842 = 1,265,842/x
  3. Step 3: Cross multiply
    812,876x = 1,265,842 × 1,265,842
  4. Step 4: Simplify right side
    812,876x = 1,602,355,968,964
  5. Step 5: Solve for x
    x = 1,602,355,968,964/812,876
  6. Step 6: Final answer
    x = 1,971,218.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.