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Finding the Third Proportional to 1,275,378 and 1,953,243

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Solution

The third proportional to 1,275,378 and 1,953,243 is: 2,991,394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275,378 : 1,953,243 = 1,953,243 : x
  2. Step 2: Convert to fraction form
    1,275,378/1,953,243 = 1,953,243/x
  3. Step 3: Cross multiply
    1,275,378x = 1,953,243 × 1,953,243
  4. Step 4: Simplify right side
    1,275,378x = 3,815,158,217,049
  5. Step 5: Solve for x
    x = 3,815,158,217,049/1,275,378
  6. Step 6: Final answer
    x = 2,991,394.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.