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Finding the Third Proportional to 961,305 and 2,074,599

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Solution

The third proportional to 961,305 and 2,074,599 is: 4,477,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,305 : 2,074,599 = 2,074,599 : x
  2. Step 2: Convert to fraction form
    961,305/2,074,599 = 2,074,599/x
  3. Step 3: Cross multiply
    961,305x = 2,074,599 × 2,074,599
  4. Step 4: Simplify right side
    961,305x = 4,303,961,010,801
  5. Step 5: Solve for x
    x = 4,303,961,010,801/961,305
  6. Step 6: Final answer
    x = 4,477,206.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.