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Finding the Third Proportional to 787,528 and 1,608,266

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Solution

The third proportional to 787,528 and 1,608,266 is: 3,284,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,528 : 1,608,266 = 1,608,266 : x
  2. Step 2: Convert to fraction form
    787,528/1,608,266 = 1,608,266/x
  3. Step 3: Cross multiply
    787,528x = 1,608,266 × 1,608,266
  4. Step 4: Simplify right side
    787,528x = 2,586,519,526,756
  5. Step 5: Solve for x
    x = 2,586,519,526,756/787,528
  6. Step 6: Final answer
    x = 3,284,352.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.