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Finding the Third Proportional to 827,886 and 1,214,562

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Solution

The third proportional to 827,886 and 1,214,562 is: 1,781,840.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,886 : 1,214,562 = 1,214,562 : x
  2. Step 2: Convert to fraction form
    827,886/1,214,562 = 1,214,562/x
  3. Step 3: Cross multiply
    827,886x = 1,214,562 × 1,214,562
  4. Step 4: Simplify right side
    827,886x = 1,475,160,851,844
  5. Step 5: Solve for x
    x = 1,475,160,851,844/827,886
  6. Step 6: Final answer
    x = 1,781,840.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.