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Finding the Third Proportional to 389,472 and 849,088

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Solution

The third proportional to 389,472 and 849,088 is: 1,851,096.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,472 : 849,088 = 849,088 : x
  2. Step 2: Convert to fraction form
    389,472/849,088 = 849,088/x
  3. Step 3: Cross multiply
    389,472x = 849,088 × 849,088
  4. Step 4: Simplify right side
    389,472x = 720,950,431,744
  5. Step 5: Solve for x
    x = 720,950,431,744/389,472
  6. Step 6: Final answer
    x = 1,851,096.95

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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.