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Finding the Third Proportional to 800,408 and 1,125,732

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Solution

The third proportional to 800,408 and 1,125,732 is: 1,583,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,408 : 1,125,732 = 1,125,732 : x
  2. Step 2: Convert to fraction form
    800,408/1,125,732 = 1,125,732/x
  3. Step 3: Cross multiply
    800,408x = 1,125,732 × 1,125,732
  4. Step 4: Simplify right side
    800,408x = 1,267,272,535,824
  5. Step 5: Solve for x
    x = 1,267,272,535,824/800,408
  6. Step 6: Final answer
    x = 1,583,283.20

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.