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Finding the Third Proportional to 757,846.76 and 1,136,770.14

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Solution

The third proportional to 757,846.76 and 1,136,770.14 is: 1,705,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,846.76 : 1,136,770.14 = 1,136,770.14 : x
  2. Step 2: Convert to fraction form
    757,846.76/1,136,770.14 = 1,136,770.14/x
  3. Step 3: Cross multiply
    757,846.76x = 1,136,770.14 × 1,136,770.14
  4. Step 4: Simplify right side
    757,846.76x = 1,292,246,343,735.68
  5. Step 5: Solve for x
    x = 1,292,246,343,735.68/757,846.76
  6. Step 6: Final answer
    x = 1,705,155.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.