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Finding the Third Proportional to 834,412 and 1,794,569

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Solution

The third proportional to 834,412 and 1,794,569 is: 3,859,577.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,412 : 1,794,569 = 1,794,569 : x
  2. Step 2: Convert to fraction form
    834,412/1,794,569 = 1,794,569/x
  3. Step 3: Cross multiply
    834,412x = 1,794,569 × 1,794,569
  4. Step 4: Simplify right side
    834,412x = 3,220,477,895,761
  5. Step 5: Solve for x
    x = 3,220,477,895,761/834,412
  6. Step 6: Final answer
    x = 3,859,577.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.