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Finding the Third Proportional to 882,584 and 1,322,692

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Solution

The third proportional to 882,584 and 1,322,692 is: 1,982,263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,584 : 1,322,692 = 1,322,692 : x
  2. Step 2: Convert to fraction form
    882,584/1,322,692 = 1,322,692/x
  3. Step 3: Cross multiply
    882,584x = 1,322,692 × 1,322,692
  4. Step 4: Simplify right side
    882,584x = 1,749,514,126,864
  5. Step 5: Solve for x
    x = 1,749,514,126,864/882,584
  6. Step 6: Final answer
    x = 1,982,263.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.