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Finding the Third Proportional to 581,936 and 1,252,408

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Solution

The third proportional to 581,936 and 1,252,408 is: 2,695,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,936 : 1,252,408 = 1,252,408 : x
  2. Step 2: Convert to fraction form
    581,936/1,252,408 = 1,252,408/x
  3. Step 3: Cross multiply
    581,936x = 1,252,408 × 1,252,408
  4. Step 4: Simplify right side
    581,936x = 1,568,525,798,464
  5. Step 5: Solve for x
    x = 1,568,525,798,464/581,936
  6. Step 6: Final answer
    x = 2,695,357.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.