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Finding the Third Proportional to 523,651 and 819,173

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Solution

The third proportional to 523,651 and 819,173 is: 1,281,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,651 : 819,173 = 819,173 : x
  2. Step 2: Convert to fraction form
    523,651/819,173 = 819,173/x
  3. Step 3: Cross multiply
    523,651x = 819,173 × 819,173
  4. Step 4: Simplify right side
    523,651x = 671,044,403,929
  5. Step 5: Solve for x
    x = 671,044,403,929/523,651
  6. Step 6: Final answer
    x = 1,281,472.59

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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.