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Finding the Third Proportional to 896,829 and 1,361,850

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Solution

The third proportional to 896,829 and 1,361,850 is: 2,067,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,829 : 1,361,850 = 1,361,850 : x
  2. Step 2: Convert to fraction form
    896,829/1,361,850 = 1,361,850/x
  3. Step 3: Cross multiply
    896,829x = 1,361,850 × 1,361,850
  4. Step 4: Simplify right side
    896,829x = 1,854,635,422,500
  5. Step 5: Solve for x
    x = 1,854,635,422,500/896,829
  6. Step 6: Final answer
    x = 2,067,992.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.