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Finding the Third Proportional to 882,583 and 1,322,689

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Solution

The third proportional to 882,583 and 1,322,689 is: 1,982,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,583 : 1,322,689 = 1,322,689 : x
  2. Step 2: Convert to fraction form
    882,583/1,322,689 = 1,322,689/x
  3. Step 3: Cross multiply
    882,583x = 1,322,689 × 1,322,689
  4. Step 4: Simplify right side
    882,583x = 1,749,506,190,721
  5. Step 5: Solve for x
    x = 1,749,506,190,721/882,583
  6. Step 6: Final answer
    x = 1,982,256.84

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Why These Related Problems?

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