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Finding the Third Proportional to 583,132 and 1,280,408

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Solution

The third proportional to 583,132 and 1,280,408 is: 2,811,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,132 : 1,280,408 = 1,280,408 : x
  2. Step 2: Convert to fraction form
    583,132/1,280,408 = 1,280,408/x
  3. Step 3: Cross multiply
    583,132x = 1,280,408 × 1,280,408
  4. Step 4: Simplify right side
    583,132x = 1,639,444,646,464
  5. Step 5: Solve for x
    x = 1,639,444,646,464/583,132
  6. Step 6: Final answer
    x = 2,811,446.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.