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Finding the Third Proportional to 686,857 and 1,488,050

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Solution

The third proportional to 686,857 and 1,488,050 is: 3,223,804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,857 : 1,488,050 = 1,488,050 : x
  2. Step 2: Convert to fraction form
    686,857/1,488,050 = 1,488,050/x
  3. Step 3: Cross multiply
    686,857x = 1,488,050 × 1,488,050
  4. Step 4: Simplify right side
    686,857x = 2,214,292,802,500
  5. Step 5: Solve for x
    x = 2,214,292,802,500/686,857
  6. Step 6: Final answer
    x = 3,223,804.67

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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.