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Finding the Third Proportional to 826,100 and 1,262,895

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Solution

The third proportional to 826,100 and 1,262,895 is: 1,930,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,100 : 1,262,895 = 1,262,895 : x
  2. Step 2: Convert to fraction form
    826,100/1,262,895 = 1,262,895/x
  3. Step 3: Cross multiply
    826,100x = 1,262,895 × 1,262,895
  4. Step 4: Simplify right side
    826,100x = 1,594,903,781,025
  5. Step 5: Solve for x
    x = 1,594,903,781,025/826,100
  6. Step 6: Final answer
    x = 1,930,642.51

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.