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Finding the Third Proportional to 816,563 and 1,751,170

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Solution

The third proportional to 816,563 and 1,751,170 is: 3,755,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,563 : 1,751,170 = 1,751,170 : x
  2. Step 2: Convert to fraction form
    816,563/1,751,170 = 1,751,170/x
  3. Step 3: Cross multiply
    816,563x = 1,751,170 × 1,751,170
  4. Step 4: Simplify right side
    816,563x = 3,066,596,368,900
  5. Step 5: Solve for x
    x = 3,066,596,368,900/816,563
  6. Step 6: Final answer
    x = 3,755,492.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.