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Finding the Third Proportional to 384,653 and 837,034

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Solution

The third proportional to 384,653 and 837,034 is: 1,821,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,653 : 837,034 = 837,034 : x
  2. Step 2: Convert to fraction form
    384,653/837,034 = 837,034/x
  3. Step 3: Cross multiply
    384,653x = 837,034 × 837,034
  4. Step 4: Simplify right side
    384,653x = 700,625,917,156
  5. Step 5: Solve for x
    x = 700,625,917,156/384,653
  6. Step 6: Final answer
    x = 1,821,449.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.