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Finding the Third Proportional to 827,886 and 1,214,575

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Solution

The third proportional to 827,886 and 1,214,575 is: 1,781,878.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,886 : 1,214,575 = 1,214,575 : x
  2. Step 2: Convert to fraction form
    827,886/1,214,575 = 1,214,575/x
  3. Step 3: Cross multiply
    827,886x = 1,214,575 × 1,214,575
  4. Step 4: Simplify right side
    827,886x = 1,475,192,430,625
  5. Step 5: Solve for x
    x = 1,475,192,430,625/827,886
  6. Step 6: Final answer
    x = 1,781,878.70

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