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Finding the Third Proportional to 681,808 and 1,488,032

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Solution

The third proportional to 681,808 and 1,488,032 is: 3,247,599.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,808 : 1,488,032 = 1,488,032 : x
  2. Step 2: Convert to fraction form
    681,808/1,488,032 = 1,488,032/x
  3. Step 3: Cross multiply
    681,808x = 1,488,032 × 1,488,032
  4. Step 4: Simplify right side
    681,808x = 2,214,239,233,024
  5. Step 5: Solve for x
    x = 2,214,239,233,024/681,808
  6. Step 6: Final answer
    x = 3,247,599.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.