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Finding the Third Proportional to 787,591.50 and 1,683,138

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Solution

The third proportional to 787,591.50 and 1,683,138 is: 3,596,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,591.50 : 1,683,138 = 1,683,138 : x
  2. Step 2: Convert to fraction form
    787,591.50/1,683,138 = 1,683,138/x
  3. Step 3: Cross multiply
    787,591.50x = 1,683,138 × 1,683,138
  4. Step 4: Simplify right side
    787,591.50x = 2,832,953,527,044
  5. Step 5: Solve for x
    x = 2,832,953,527,044/787,591.50
  6. Step 6: Final answer
    x = 3,596,983.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.