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Finding the Third Proportional to 1,238,760 and 1,810,323

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Solution

The third proportional to 1,238,760 and 1,810,323 is: 2,645,604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,760 : 1,810,323 = 1,810,323 : x
  2. Step 2: Convert to fraction form
    1,238,760/1,810,323 = 1,810,323/x
  3. Step 3: Cross multiply
    1,238,760x = 1,810,323 × 1,810,323
  4. Step 4: Simplify right side
    1,238,760x = 3,277,269,364,329
  5. Step 5: Solve for x
    x = 3,277,269,364,329/1,238,760
  6. Step 6: Final answer
    x = 2,645,604.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.