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Finding the Third Proportional to 782,818 and 1,212,106

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Solution

The third proportional to 782,818 and 1,212,106 is: 1,876,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,818 : 1,212,106 = 1,212,106 : x
  2. Step 2: Convert to fraction form
    782,818/1,212,106 = 1,212,106/x
  3. Step 3: Cross multiply
    782,818x = 1,212,106 × 1,212,106
  4. Step 4: Simplify right side
    782,818x = 1,469,200,955,236
  5. Step 5: Solve for x
    x = 1,469,200,955,236/782,818
  6. Step 6: Final answer
    x = 1,876,810.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.