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Finding the Third Proportional to 686,844 and 1,488,024

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Solution

The third proportional to 686,844 and 1,488,024 is: 3,223,753.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,844 : 1,488,024 = 1,488,024 : x
  2. Step 2: Convert to fraction form
    686,844/1,488,024 = 1,488,024/x
  3. Step 3: Cross multiply
    686,844x = 1,488,024 × 1,488,024
  4. Step 4: Simplify right side
    686,844x = 2,214,215,424,576
  5. Step 5: Solve for x
    x = 2,214,215,424,576/686,844
  6. Step 6: Final answer
    x = 3,223,753.03

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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.