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Finding the Third Proportional to 384,642 and 837,013

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Solution

The third proportional to 384,642 and 837,013 is: 1,821,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,642 : 837,013 = 837,013 : x
  2. Step 2: Convert to fraction form
    384,642/837,013 = 837,013/x
  3. Step 3: Cross multiply
    384,642x = 837,013 × 837,013
  4. Step 4: Simplify right side
    384,642x = 700,590,762,169
  5. Step 5: Solve for x
    x = 700,590,762,169/384,642
  6. Step 6: Final answer
    x = 1,821,409.94

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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.