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Finding the Third Proportional to 826,954 and 1,326,818

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Solution

The third proportional to 826,954 and 1,326,818 is: 2,128,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,954 : 1,326,818 = 1,326,818 : x
  2. Step 2: Convert to fraction form
    826,954/1,326,818 = 1,326,818/x
  3. Step 3: Cross multiply
    826,954x = 1,326,818 × 1,326,818
  4. Step 4: Simplify right side
    826,954x = 1,760,446,005,124
  5. Step 5: Solve for x
    x = 1,760,446,005,124/826,954
  6. Step 6: Final answer
    x = 2,128,831.84

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.