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Finding the Third Proportional to 787,441.50 and 1,686,411

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Solution

The third proportional to 787,441.50 and 1,686,411 is: 3,611,674.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,441.50 : 1,686,411 = 1,686,411 : x
  2. Step 2: Convert to fraction form
    787,441.50/1,686,411 = 1,686,411/x
  3. Step 3: Cross multiply
    787,441.50x = 1,686,411 × 1,686,411
  4. Step 4: Simplify right side
    787,441.50x = 2,843,982,060,921
  5. Step 5: Solve for x
    x = 2,843,982,060,921/787,441.50
  6. Step 6: Final answer
    x = 3,611,674.09

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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.