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Finding the Third Proportional to 851,656 and 1,854,512

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Solution

The third proportional to 851,656 and 1,854,512 is: 4,038,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,656 : 1,854,512 = 1,854,512 : x
  2. Step 2: Convert to fraction form
    851,656/1,854,512 = 1,854,512/x
  3. Step 3: Cross multiply
    851,656x = 1,854,512 × 1,854,512
  4. Step 4: Simplify right side
    851,656x = 3,439,214,758,144
  5. Step 5: Solve for x
    x = 3,439,214,758,144/851,656
  6. Step 6: Final answer
    x = 4,038,267.51

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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.