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Finding the Third Proportional to 789,714.56 and 1,705,520.81

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Solution

The third proportional to 789,714.56 and 1,705,520.81 is: 3,683,357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,714.56 : 1,705,520.81 = 1,705,520.81 : x
  2. Step 2: Convert to fraction form
    789,714.56/1,705,520.81 = 1,705,520.81/x
  3. Step 3: Cross multiply
    789,714.56x = 1,705,520.81 × 1,705,520.81
  4. Step 4: Simplify right side
    789,714.56x = 2,908,801,241,870.66
  5. Step 5: Solve for x
    x = 2,908,801,241,870.66/789,714.56
  6. Step 6: Final answer
    x = 3,683,357.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.