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Finding the Third Proportional to 683,821.50 and 1,488,051

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Solution

The third proportional to 683,821.50 and 1,488,051 is: 3,238,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,821.50 : 1,488,051 = 1,488,051 : x
  2. Step 2: Convert to fraction form
    683,821.50/1,488,051 = 1,488,051/x
  3. Step 3: Cross multiply
    683,821.50x = 1,488,051 × 1,488,051
  4. Step 4: Simplify right side
    683,821.50x = 2,214,295,778,601
  5. Step 5: Solve for x
    x = 2,214,295,778,601/683,821.50
  6. Step 6: Final answer
    x = 3,238,119.57

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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.