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Finding the Third Proportional to 399,492 and 857,736

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Solution

The third proportional to 399,492 and 857,736 is: 1,841,616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,492 : 857,736 = 857,736 : x
  2. Step 2: Convert to fraction form
    399,492/857,736 = 857,736/x
  3. Step 3: Cross multiply
    399,492x = 857,736 × 857,736
  4. Step 4: Simplify right side
    399,492x = 735,711,045,696
  5. Step 5: Solve for x
    x = 735,711,045,696/399,492
  6. Step 6: Final answer
    x = 1,841,616.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.