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Finding the Third Proportional to 934,614 and 2,042,199

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Solution

The third proportional to 934,614 and 2,042,199 is: 4,462,352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,614 : 2,042,199 = 2,042,199 : x
  2. Step 2: Convert to fraction form
    934,614/2,042,199 = 2,042,199/x
  3. Step 3: Cross multiply
    934,614x = 2,042,199 × 2,042,199
  4. Step 4: Simplify right side
    934,614x = 4,170,576,755,601
  5. Step 5: Solve for x
    x = 4,170,576,755,601/934,614
  6. Step 6: Final answer
    x = 4,462,352.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.