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Finding the Third Proportional to 618,872 and 1,350,464

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Solution

The third proportional to 618,872 and 1,350,464 is: 2,946,898.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,872 : 1,350,464 = 1,350,464 : x
  2. Step 2: Convert to fraction form
    618,872/1,350,464 = 1,350,464/x
  3. Step 3: Cross multiply
    618,872x = 1,350,464 × 1,350,464
  4. Step 4: Simplify right side
    618,872x = 1,823,753,015,296
  5. Step 5: Solve for x
    x = 1,823,753,015,296/618,872
  6. Step 6: Final answer
    x = 2,946,898.58

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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.