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Finding the Third Proportional to 896,822.50 and 1,361,842

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Solution

The third proportional to 896,822.50 and 1,361,842 is: 2,067,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,822.50 : 1,361,842 = 1,361,842 : x
  2. Step 2: Convert to fraction form
    896,822.50/1,361,842 = 1,361,842/x
  3. Step 3: Cross multiply
    896,822.50x = 1,361,842 × 1,361,842
  4. Step 4: Simplify right side
    896,822.50x = 1,854,613,632,964
  5. Step 5: Solve for x
    x = 1,854,613,632,964/896,822.50
  6. Step 6: Final answer
    x = 2,067,982.94

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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.