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Finding the Third Proportional to 787,582.50 and 1,683,123

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Solution

The third proportional to 787,582.50 and 1,683,123 is: 3,596,960.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,582.50 : 1,683,123 = 1,683,123 : x
  2. Step 2: Convert to fraction form
    787,582.50/1,683,123 = 1,683,123/x
  3. Step 3: Cross multiply
    787,582.50x = 1,683,123 × 1,683,123
  4. Step 4: Simplify right side
    787,582.50x = 2,832,903,033,129
  5. Step 5: Solve for x
    x = 2,832,903,033,129/787,582.50
  6. Step 6: Final answer
    x = 3,596,960.36

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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.