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Finding the Third Proportional to 683,817.19 and 1,488,040.88

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Solution

The third proportional to 683,817.19 and 1,488,040.88 is: 3,238,095.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,817.19 : 1,488,040.88 = 1,488,040.88 : x
  2. Step 2: Convert to fraction form
    683,817.19/1,488,040.88 = 1,488,040.88/x
  3. Step 3: Cross multiply
    683,817.19x = 1,488,040.88 × 1,488,040.88
  4. Step 4: Simplify right side
    683,817.19x = 2,214,265,645,670.77
  5. Step 5: Solve for x
    x = 2,214,265,645,670.77/683,817.19
  6. Step 6: Final answer
    x = 3,238,095.92

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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.