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Finding the Third Proportional to 787,576.50 and 1,683,108

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Solution

The third proportional to 787,576.50 and 1,683,108 is: 3,596,923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,576.50 : 1,683,108 = 1,683,108 : x
  2. Step 2: Convert to fraction form
    787,576.50/1,683,108 = 1,683,108/x
  3. Step 3: Cross multiply
    787,576.50x = 1,683,108 × 1,683,108
  4. Step 4: Simplify right side
    787,576.50x = 2,832,852,539,664
  5. Step 5: Solve for x
    x = 2,832,852,539,664/787,576.50
  6. Step 6: Final answer
    x = 3,596,923.65

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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.