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Finding the Third Proportional to 789,374.95 and 1,154,093.48

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Solution

The third proportional to 789,374.95 and 1,154,093.48 is: 1,687,324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,374.95 : 1,154,093.48 = 1,154,093.48 : x
  2. Step 2: Convert to fraction form
    789,374.95/1,154,093.48 = 1,154,093.48/x
  3. Step 3: Cross multiply
    789,374.95x = 1,154,093.48 × 1,154,093.48
  4. Step 4: Simplify right side
    789,374.95x = 1,331,931,770,676.83
  5. Step 5: Solve for x
    x = 1,331,931,770,676.83/789,374.95
  6. Step 6: Final answer
    x = 1,687,324.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.