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Finding the Third Proportional to 618,453 and 1,342,656

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Solution

The third proportional to 618,453 and 1,342,656 is: 2,914,894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,453 : 1,342,656 = 1,342,656 : x
  2. Step 2: Convert to fraction form
    618,453/1,342,656 = 1,342,656/x
  3. Step 3: Cross multiply
    618,453x = 1,342,656 × 1,342,656
  4. Step 4: Simplify right side
    618,453x = 1,802,725,134,336
  5. Step 5: Solve for x
    x = 1,802,725,134,336/618,453
  6. Step 6: Final answer
    x = 2,914,894.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.