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Finding the Third Proportional to 384,510 and 843,900

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Solution

The third proportional to 384,510 and 843,900 is: 1,852,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,510 : 843,900 = 843,900 : x
  2. Step 2: Convert to fraction form
    384,510/843,900 = 843,900/x
  3. Step 3: Cross multiply
    384,510x = 843,900 × 843,900
  4. Step 4: Simplify right side
    384,510x = 712,167,210,000
  5. Step 5: Solve for x
    x = 712,167,210,000/384,510
  6. Step 6: Final answer
    x = 1,852,142.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.