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Finding the Third Proportional to 384,029 and 837,934

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Solution

The third proportional to 384,029 and 837,934 is: 1,828,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,029 : 837,934 = 837,934 : x
  2. Step 2: Convert to fraction form
    384,029/837,934 = 837,934/x
  3. Step 3: Cross multiply
    384,029x = 837,934 × 837,934
  4. Step 4: Simplify right side
    384,029x = 702,133,388,356
  5. Step 5: Solve for x
    x = 702,133,388,356/384,029
  6. Step 6: Final answer
    x = 1,828,334.29

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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.