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Finding the Third Proportional to 389,476 and 849,096

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Solution

The third proportional to 389,476 and 849,096 is: 1,851,112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,476 : 849,096 = 849,096 : x
  2. Step 2: Convert to fraction form
    389,476/849,096 = 849,096/x
  3. Step 3: Cross multiply
    389,476x = 849,096 × 849,096
  4. Step 4: Simplify right side
    389,476x = 720,964,017,216
  5. Step 5: Solve for x
    x = 720,964,017,216/389,476
  6. Step 6: Final answer
    x = 1,851,112.82

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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.