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Finding the Third Proportional to 384,675 and 837,076

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Solution

The third proportional to 384,675 and 837,076 is: 1,821,527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,675 : 837,076 = 837,076 : x
  2. Step 2: Convert to fraction form
    384,675/837,076 = 837,076/x
  3. Step 3: Cross multiply
    384,675x = 837,076 × 837,076
  4. Step 4: Simplify right side
    384,675x = 700,696,229,776
  5. Step 5: Solve for x
    x = 700,696,229,776/384,675
  6. Step 6: Final answer
    x = 1,821,527.86

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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.