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Finding the Third Proportional to 827,056 and 1,276,851

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Solution

The third proportional to 827,056 and 1,276,851 is: 1,971,267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,056 : 1,276,851 = 1,276,851 : x
  2. Step 2: Convert to fraction form
    827,056/1,276,851 = 1,276,851/x
  3. Step 3: Cross multiply
    827,056x = 1,276,851 × 1,276,851
  4. Step 4: Simplify right side
    827,056x = 1,630,348,476,201
  5. Step 5: Solve for x
    x = 1,630,348,476,201/827,056
  6. Step 6: Final answer
    x = 1,971,267.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.