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Finding the Third Proportional to 829,044 and 1,720,404

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Solution

The third proportional to 829,044 and 1,720,404 is: 3,570,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,044 : 1,720,404 = 1,720,404 : x
  2. Step 2: Convert to fraction form
    829,044/1,720,404 = 1,720,404/x
  3. Step 3: Cross multiply
    829,044x = 1,720,404 × 1,720,404
  4. Step 4: Simplify right side
    829,044x = 2,959,789,923,216
  5. Step 5: Solve for x
    x = 2,959,789,923,216/829,044
  6. Step 6: Final answer
    x = 3,570,124.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.