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Finding the Third Proportional to 576,914 and 1,262,408

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Solution

The third proportional to 576,914 and 1,262,408 is: 2,762,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,914 : 1,262,408 = 1,262,408 : x
  2. Step 2: Convert to fraction form
    576,914/1,262,408 = 1,262,408/x
  3. Step 3: Cross multiply
    576,914x = 1,262,408 × 1,262,408
  4. Step 4: Simplify right side
    576,914x = 1,593,673,958,464
  5. Step 5: Solve for x
    x = 1,593,673,958,464/576,914
  6. Step 6: Final answer
    x = 2,762,411.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.