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Finding the Third Proportional to 787,578.75 and 1,683,117

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Solution

The third proportional to 787,578.75 and 1,683,117 is: 3,596,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,578.75 : 1,683,117 = 1,683,117 : x
  2. Step 2: Convert to fraction form
    787,578.75/1,683,117 = 1,683,117/x
  3. Step 3: Cross multiply
    787,578.75x = 1,683,117 × 1,683,117
  4. Step 4: Simplify right side
    787,578.75x = 2,832,882,835,689
  5. Step 5: Solve for x
    x = 2,832,882,835,689/787,578.75
  6. Step 6: Final answer
    x = 3,596,951.84

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