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Finding the Third Proportional to 896,823 and 1,361,841

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Solution

The third proportional to 896,823 and 1,361,841 is: 2,067,978.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,823 : 1,361,841 = 1,361,841 : x
  2. Step 2: Convert to fraction form
    896,823/1,361,841 = 1,361,841/x
  3. Step 3: Cross multiply
    896,823x = 1,361,841 × 1,361,841
  4. Step 4: Simplify right side
    896,823x = 1,854,610,909,281
  5. Step 5: Solve for x
    x = 1,854,610,909,281/896,823
  6. Step 6: Final answer
    x = 2,067,978.75

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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.