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Finding the Third Proportional to 646,298 and 1,388,548

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Solution

The third proportional to 646,298 and 1,388,548 is: 2,983,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,298 : 1,388,548 = 1,388,548 : x
  2. Step 2: Convert to fraction form
    646,298/1,388,548 = 1,388,548/x
  3. Step 3: Cross multiply
    646,298x = 1,388,548 × 1,388,548
  4. Step 4: Simplify right side
    646,298x = 1,928,065,548,304
  5. Step 5: Solve for x
    x = 1,928,065,548,304/646,298
  6. Step 6: Final answer
    x = 2,983,245.42

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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.