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Finding the Third Proportional to 978,909 and 1,378,548

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Solution

The third proportional to 978,909 and 1,378,548 is: 1,941,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,909 : 1,378,548 = 1,378,548 : x
  2. Step 2: Convert to fraction form
    978,909/1,378,548 = 1,378,548/x
  3. Step 3: Cross multiply
    978,909x = 1,378,548 × 1,378,548
  4. Step 4: Simplify right side
    978,909x = 1,900,394,588,304
  5. Step 5: Solve for x
    x = 1,900,394,588,304/978,909
  6. Step 6: Final answer
    x = 1,941,339.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.