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Finding the Third Proportional to 675,806 and 944,818

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Solution

The third proportional to 675,806 and 944,818 is: 1,320,913.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,806 : 944,818 = 944,818 : x
  2. Step 2: Convert to fraction form
    675,806/944,818 = 944,818/x
  3. Step 3: Cross multiply
    675,806x = 944,818 × 944,818
  4. Step 4: Simplify right side
    675,806x = 892,681,053,124
  5. Step 5: Solve for x
    x = 892,681,053,124/675,806
  6. Step 6: Final answer
    x = 1,320,913.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.