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Finding the Third Proportional to 611,694 and 944,824

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Solution

The third proportional to 611,694 and 944,824 is: 1,459,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,694 : 944,824 = 944,824 : x
  2. Step 2: Convert to fraction form
    611,694/944,824 = 944,824/x
  3. Step 3: Cross multiply
    611,694x = 944,824 × 944,824
  4. Step 4: Simplify right side
    611,694x = 892,692,390,976
  5. Step 5: Solve for x
    x = 892,692,390,976/611,694
  6. Step 6: Final answer
    x = 1,459,377.39

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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.