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Finding the Third Proportional to 834,421 and 1,794,590

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Solution

The third proportional to 834,421 and 1,794,590 is: 3,859,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,421 : 1,794,590 = 1,794,590 : x
  2. Step 2: Convert to fraction form
    834,421/1,794,590 = 1,794,590/x
  3. Step 3: Cross multiply
    834,421x = 1,794,590 × 1,794,590
  4. Step 4: Simplify right side
    834,421x = 3,220,553,268,100
  5. Step 5: Solve for x
    x = 3,220,553,268,100/834,421
  6. Step 6: Final answer
    x = 3,859,626.34

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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.