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Finding the Third Proportional to 785,934 and 1,604,844

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Solution

The third proportional to 785,934 and 1,604,844 is: 3,277,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,934 : 1,604,844 = 1,604,844 : x
  2. Step 2: Convert to fraction form
    785,934/1,604,844 = 1,604,844/x
  3. Step 3: Cross multiply
    785,934x = 1,604,844 × 1,604,844
  4. Step 4: Simplify right side
    785,934x = 2,575,524,264,336
  5. Step 5: Solve for x
    x = 2,575,524,264,336/785,934
  6. Step 6: Final answer
    x = 3,277,023.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.