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Finding the Third Proportional to 789,815.81 and 1,697,787.84

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Solution

The third proportional to 789,815.81 and 1,697,787.84 is: 3,649,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,815.81 : 1,697,787.84 = 1,697,787.84 : x
  2. Step 2: Convert to fraction form
    789,815.81/1,697,787.84 = 1,697,787.84/x
  3. Step 3: Cross multiply
    789,815.81x = 1,697,787.84 × 1,697,787.84
  4. Step 4: Simplify right side
    789,815.81x = 2,882,483,562,385.27
  5. Step 5: Solve for x
    x = 2,882,483,562,385.27/789,815.81
  6. Step 6: Final answer
    x = 3,649,564.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.