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Finding the Third Proportional to 686,520 and 1,487,408

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Solution

The third proportional to 686,520 and 1,487,408 is: 3,222,604.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,520 : 1,487,408 = 1,487,408 : x
  2. Step 2: Convert to fraction form
    686,520/1,487,408 = 1,487,408/x
  3. Step 3: Cross multiply
    686,520x = 1,487,408 × 1,487,408
  4. Step 4: Simplify right side
    686,520x = 2,212,382,558,464
  5. Step 5: Solve for x
    x = 2,212,382,558,464/686,520
  6. Step 6: Final answer
    x = 3,222,604.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.